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Simplifying 15x2 + -30x = -15 Reorder the terms: -30x + 15x2 = -15 Solving -30x + 15x2 = -15 Solving for variable 'x'. Reorder the terms: 15 + -30x + 15x2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + -30x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '15'. 15(1 + -2x + x2) = 0 Factor a trinomial. 15((1 + -1x)(1 + -1x)) = 0 Ignore the factor 15.Subproblem 1
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 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 = 1Solution
x = {1, 1}
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