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Simplifying 12x(-1x + -3)(10 + -1x) = 0 Reorder the terms: 12x(-3 + -1x)(10 + -1x) = 0 Multiply (-3 + -1x) * (10 + -1x) 12x(-3(10 + -1x) + -1x * (10 + -1x)) = 0 12x((10 * -3 + -1x * -3) + -1x * (10 + -1x)) = 0 12x((-30 + 3x) + -1x * (10 + -1x)) = 0 12x(-30 + 3x + (10 * -1x + -1x * -1x)) = 0 12x(-30 + 3x + (-10x + 1x2)) = 0 Combine like terms: 3x + -10x = -7x 12x(-30 + -7x + 1x2) = 0 (-30 * 12x + -7x * 12x + 1x2 * 12x) = 0 (-360x + -84x2 + 12x3) = 0 Solving -360x + -84x2 + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x'. 12x(-30 + -7x + x2) = 0 Factor a trinomial. 12x((-3 + -1x)(10 + -1x)) = 0 Ignore the factor 12.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 '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 3
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {0, -3, 10}
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