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Simplifying x2 + 12x + 36 = 4x2 + -24x + 36 Reorder the terms: 36 + 12x + x2 = 4x2 + -24x + 36 Reorder the terms: 36 + 12x + x2 = 36 + -24x + 4x2 Add '-36' to each side of the equation. 36 + 12x + -36 + x2 = 36 + -24x + -36 + 4x2 Reorder the terms: 36 + -36 + 12x + x2 = 36 + -24x + -36 + 4x2 Combine like terms: 36 + -36 = 0 0 + 12x + x2 = 36 + -24x + -36 + 4x2 12x + x2 = 36 + -24x + -36 + 4x2 Reorder the terms: 12x + x2 = 36 + -36 + -24x + 4x2 Combine like terms: 36 + -36 = 0 12x + x2 = 0 + -24x + 4x2 12x + x2 = -24x + 4x2 Solving 12x + x2 = -24x + 4x2 Solving for variable 'x'. Reorder the terms: 12x + 24x + x2 + -4x2 = -24x + 4x2 + 24x + -4x2 Combine like terms: 12x + 24x = 36x 36x + x2 + -4x2 = -24x + 4x2 + 24x + -4x2 Combine like terms: x2 + -4x2 = -3x2 36x + -3x2 = -24x + 4x2 + 24x + -4x2 Reorder the terms: 36x + -3x2 = -24x + 24x + 4x2 + -4x2 Combine like terms: -24x + 24x = 0 36x + -3x2 = 0 + 4x2 + -4x2 36x + -3x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 36x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(12 + -1x) = 0 Ignore the factor 3.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 = 0Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {0, 12}
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