# Solve for x (5x+2)^2+15x+6=0

Factor the left side of the equation.

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Let . Substitute for all occurrences of .

Factor out of .

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Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor.

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Factor by grouping.

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For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .

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Factor out of .

Rewrite as plus

Apply the distributive property.

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

Factor out the greatest common factor (GCF) from each group.

Factor the polynomial by factoring out the greatest common factor, .

Remove unnecessary parentheses.

Replace all occurrences of with .

If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .

Set equal to and solve for .

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Set equal to .

Solve for .

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Subtract from both sides of the equation.

Divide each term in by and simplify.

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Divide each term in by .

Simplify the left side.

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Cancel the common factor of .

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Cancel the common factor.

Divide by .

Simplify the right side.

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Move the negative in front of the fraction.

Set equal to and solve for .

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Set equal to .

Subtract from both sides of the equation.

The final solution is all the values that make true.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

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