315=4x^2-9

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Solution for 315=4x^2-9 equation:


Simplifying
315 = 4x2 + -9

Reorder the terms:
315 = -9 + 4x2

Solving
315 = -9 + 4x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x2' to each side of the equation.
315 + -4x2 = -9 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
315 + -4x2 = -9 + 0
315 + -4x2 = -9

Add '-315' to each side of the equation.
315 + -315 + -4x2 = -9 + -315

Combine like terms: 315 + -315 = 0
0 + -4x2 = -9 + -315
-4x2 = -9 + -315

Combine like terms: -9 + -315 = -324
-4x2 = -324

Divide each side by '-4'.
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}

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