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Simplifying (2x3) + -1(4x2) + -1(30x) = 0 Remove parenthesis around (4x2) (2x3) + -1 * 4x2 + -1(30x) = 0 Multiply -1 * 4 (2x3) + -4x2 + -1(30x) = 0 Remove parenthesis around (30x) (2x3) + -4x2 + -1 * 30x = 0 Multiply -1 * 30 (2x3) + -4x2 + -30x = 0 Reorder the terms: -30x + -4x2 + (2x3) = 0 Solving -30x + -4x2 + (2x3) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-15 + -2x + x2) = 0 Factor a trinomial. 2x((-3 + -1x)(5 + -1x)) = 0 Ignore the factor 2.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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0, -3, 5}
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