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Simplifying x(x + 12)(x + -1) = 0 Reorder the terms: x(12 + x)(x + -1) = 0 Reorder the terms: x(12 + x)(-1 + x) = 0 Multiply (12 + x) * (-1 + x) x(12(-1 + x) + x(-1 + x)) = 0 x((-1 * 12 + x * 12) + x(-1 + x)) = 0 x((-12 + 12x) + x(-1 + x)) = 0 x(-12 + 12x + (-1 * x + x * x)) = 0 x(-12 + 12x + (-1x + x2)) = 0 Combine like terms: 12x + -1x = 11x x(-12 + 11x + x2) = 0 (-12 * x + 11x * x + x2 * x) = 0 (-12x + 11x2 + x3) = 0 Solving -12x + 11x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + 11x + x2) = 0 Factor a trinomial. x((-12 + -1x)(1 + -1x)) = 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 + -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 = -12Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, -12, 1}
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