# Solve for x 5x=6x^2-3

Subtract from both sides of the equation.

Add to both sides of the equation.

Use the quadratic formula to find the solutions.

Substitute the values , , and into the quadratic formula and solve for .

Simplify.

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Simplify the numerator.

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Raise to the power of .

Multiply by .

Multiply by .

Add and .

Multiply by .

Simplify .

The final answer is the combination of both solutions.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

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