2x^2=(x^2-12)(4)

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Solution for 2x^2=(x^2-12)(4) equation: 


Simplifying
2x2 = (x2 + -12)(4)

Reorder the terms:
2x2 = (-12 + x2)(4)

Reorder the terms for easier multiplication:
2x2 = 4(-12 + x2)
2x2 = (-12 * 4 + x2 * 4)
2x2 = (-48 + 4x2)

Solving
2x2 = -48 + 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.
2x2 + -4x2 = -48 + 4x2 + -4x2

Combine like terms: 2x2 + -4x2 = -2x2
-2x2 = -48 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-2x2 = -48 + 0
-2x2 = -48

Divide each side by '-2'.
x2 = 24

Simplifying
x2 = 24

Take the square root of each side:
x = {-4.898979486, 4.898979486}

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