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Simplifying 2x(x + -6) + 3 = x2 + 3 Reorder the terms: 2x(-6 + x) + 3 = x2 + 3 (-6 * 2x + x * 2x) + 3 = x2 + 3 (-12x + 2x2) + 3 = x2 + 3 Reorder the terms: 3 + -12x + 2x2 = x2 + 3 Reorder the terms: 3 + -12x + 2x2 = 3 + x2 Add '-3' to each side of the equation. 3 + -12x + -3 + 2x2 = 3 + -3 + x2 Reorder the terms: 3 + -3 + -12x + 2x2 = 3 + -3 + x2 Combine like terms: 3 + -3 = 0 0 + -12x + 2x2 = 3 + -3 + x2 -12x + 2x2 = 3 + -3 + x2 Combine like terms: 3 + -3 = 0 -12x + 2x2 = 0 + x2 -12x + 2x2 = x2 Solving -12x + 2x2 = x2 Solving for variable 'x'. Combine like terms: 2x2 + -1x2 = 1x2 -12x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + x) = 0Subproblem 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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