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Simplifying 3x2 = 9x2 + -72x + 144x Reorder the terms: 3x2 = -72x + 144x + 9x2 Combine like terms: -72x + 144x = 72x 3x2 = 72x + 9x2 Solving 3x2 = 72x + 9x2 Solving for variable 'x'. Reorder the terms: -72x + 3x2 + -9x2 = 72x + 9x2 + -72x + -9x2 Combine like terms: 3x2 + -9x2 = -6x2 -72x + -6x2 = 72x + 9x2 + -72x + -9x2 Reorder the terms: -72x + -6x2 = 72x + -72x + 9x2 + -9x2 Combine like terms: 72x + -72x = 0 -72x + -6x2 = 0 + 9x2 + -9x2 -72x + -6x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -72x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '-6x'. -6x(12 + x) = 0 Ignore the factor -6.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 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 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 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {0, -12}
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