x^2+3x(x-12)=0

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Solution for x^2+3x(x-12)=0 equation:


Simplifying
x2 + 3x(x + -12) = 0

Reorder the terms:
x2 + 3x(-12 + x) = 0
x2 + (-12 * 3x + x * 3x) = 0
x2 + (-36x + 3x2) = 0

Reorder the terms:
-36x + x2 + 3x2 = 0

Combine like terms: x2 + 3x2 = 4x2
-36x + 4x2 = 0

Solving
-36x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-9 + x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9

Solution

x = {0, 9}

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