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Simplifying 15x2 = 34x + -1x3 Solving 15x2 = 34x + -1x3 Solving for variable 'x'. Reorder the terms: -34x + 15x2 + x3 = 34x + -1x3 + -34x + x3 Reorder the terms: -34x + 15x2 + x3 = 34x + -34x + -1x3 + x3 Combine like terms: 34x + -34x = 0 -34x + 15x2 + x3 = 0 + -1x3 + x3 -34x + 15x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -34x + 15x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-34 + 15x + x2) = 0 Factor a trinomial. x((-17 + -1x)(2 + -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 '(-17 + -1x)' equal to zero and attempt to solve: Simplifying -17 + -1x = 0 Solving -17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 0 + 17 -1x = 0 + 17 Combine like terms: 0 + 17 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, -17, 2}
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