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Simplifying (8x3) + -1(4x2) + -1(12x) = 0 Remove parenthesis around (4x2) (8x3) + -1 * 4x2 + -1(12x) = 0 Multiply -1 * 4 (8x3) + -4x2 + -1(12x) = 0 Remove parenthesis around (12x) (8x3) + -4x2 + -1 * 12x = 0 Multiply -1 * 12 (8x3) + -4x2 + -12x = 0 Reorder the terms: -12x + -4x2 + (8x3) = 0 Solving -12x + -4x2 + (8x3) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-3 + -1x + (2x2)) = 0 Factor a trinomial. 4x((-1 + -1x)(3 + -2x)) = 0 Ignore the factor 4.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 '(-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 = -1Subproblem 3
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0, -1, 1.5}
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