3(x+12)(x-12)=0

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Solution for 3(x+12)(x-12)=0 equation:


Simplifying
3(x + 12)(x + -12) = 0

Reorder the terms:
3(12 + x)(x + -12) = 0

Reorder the terms:
3(12 + x)(-12 + x) = 0

Multiply (12 + x) * (-12 + x)
3(12(-12 + x) + x(-12 + x)) = 0
3((-12 * 12 + x * 12) + x(-12 + x)) = 0
3((-144 + 12x) + x(-12 + x)) = 0
3(-144 + 12x + (-12 * x + x * x)) = 0
3(-144 + 12x + (-12x + x2)) = 0

Combine like terms: 12x + -12x = 0
3(-144 + 0 + x2) = 0
3(-144 + x2) = 0
(-144 * 3 + x2 * 3) = 0
(-432 + 3x2) = 0

Solving
-432 + 3x2 = 0

Solving for variable 'x'.

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

Add '432' to each side of the equation.
-432 + 432 + 3x2 = 0 + 432

Combine like terms: -432 + 432 = 0
0 + 3x2 = 0 + 432
3x2 = 0 + 432

Combine like terms: 0 + 432 = 432
3x2 = 432

Divide each side by '3'.
x2 = 144

Simplifying
x2 = 144

Take the square root of each side:
x = {-12, 12}

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