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Simplifying 328 = 2x2 + 24x + 328 Reorder the terms: 328 = 328 + 24x + 2x2 Add '-328' to each side of the equation. 328 + -328 = 328 + 24x + -328 + 2x2 Combine like terms: 328 + -328 = 0 0 = 328 + 24x + -328 + 2x2 Reorder the terms: 0 = 328 + -328 + 24x + 2x2 Combine like terms: 328 + -328 = 0 0 = 0 + 24x + 2x2 0 = 24x + 2x2 Solving 0 = 24x + 2x2 Solving for variable 'x'. Remove the zero: -24x + -2x2 = 24x + 2x2 + -24x + -2x2 Reorder the terms: -24x + -2x2 = 24x + -24x + 2x2 + -2x2 Combine like terms: 24x + -24x = 0 -24x + -2x2 = 0 + 2x2 + -2x2 -24x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -24x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(12 + x) = 0 Ignore the factor -2.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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