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Simplifying -3(2x + -4) + 3x2 = 12 Reorder the terms: -3(-4 + 2x) + 3x2 = 12 (-4 * -3 + 2x * -3) + 3x2 = 12 (12 + -6x) + 3x2 = 12 Add '-12' to each side of the equation. 12 + -6x + -12 + 3x2 = 12 + -12 Reorder the terms: 12 + -12 + -6x + 3x2 = 12 + -12 Combine like terms: 12 + -12 = 0 0 + -6x + 3x2 = 12 + -12 -6x + 3x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -6x + 3x2 = 0 Solving -6x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-2 + x) = 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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Solution
x = {0, 2}
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