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Simplifying (x3) + -1(3x2) + -17x + 14 = x + 14 x3 + -1(3x2) + -17x + 14 = x + 14 Remove parenthesis around (3x2) x3 + -1 * 3x2 + -17x + 14 = x + 14 Multiply -1 * 3 x3 + -3x2 + -17x + 14 = x + 14 Reorder the terms: 14 + -17x + -3x2 + x3 = x + 14 Reorder the terms: 14 + -17x + -3x2 + x3 = 14 + x Add '-14' to each side of the equation. 14 + -17x + -3x2 + -14 + x3 = 14 + -14 + x Reorder the terms: 14 + -14 + -17x + -3x2 + x3 = 14 + -14 + x Combine like terms: 14 + -14 = 0 0 + -17x + -3x2 + x3 = 14 + -14 + x -17x + -3x2 + x3 = 14 + -14 + x Combine like terms: 14 + -14 = 0 -17x + -3x2 + x3 = 0 + x -17x + -3x2 + x3 = x Solving -17x + -3x2 + x3 = x Solving for variable 'x'. Reorder the terms: -17x + -1x + -3x2 + x3 = x + -1x Combine like terms: -17x + -1x = -18x -18x + -3x2 + x3 = x + -1x Combine like terms: x + -1x = 0 -18x + -3x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-18 + -3x + x2) = 0 Factor a trinomial. x((-3 + -1x)(6 + -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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0, -3, 6}
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