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Simplifying x3 + -15x + 5 = 4 + 2x2 + 1 Reorder the terms: 5 + -15x + x3 = 4 + 2x2 + 1 Reorder the terms: 5 + -15x + x3 = 4 + 1 + 2x2 Combine like terms: 4 + 1 = 5 5 + -15x + x3 = 5 + 2x2 Add '-5' to each side of the equation. 5 + -15x + -5 + x3 = 5 + -5 + 2x2 Reorder the terms: 5 + -5 + -15x + x3 = 5 + -5 + 2x2 Combine like terms: 5 + -5 = 0 0 + -15x + x3 = 5 + -5 + 2x2 -15x + x3 = 5 + -5 + 2x2 Combine like terms: 5 + -5 = 0 -15x + x3 = 0 + 2x2 -15x + x3 = 2x2 Solving -15x + x3 = 2x2 Solving for variable 'x'. Reorder the terms: -15x + -2x2 + x3 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -15x + -2x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-15 + -2x + x2) = 0 Factor a trinomial. x((-3 + -1x)(5 + -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 '(-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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