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Simplifying 2(x2 + -7x) + -10 = 26 Reorder the terms: 2(-7x + x2) + -10 = 26 (-7x * 2 + x2 * 2) + -10 = 26 (-14x + 2x2) + -10 = 26 Reorder the terms: -10 + -14x + 2x2 = 26 Solving -10 + -14x + 2x2 = 26 Solving for variable 'x'. Reorder the terms: -10 + -26 + -14x + 2x2 = 26 + -26 Combine like terms: -10 + -26 = -36 -36 + -14x + 2x2 = 26 + -26 Combine like terms: 26 + -26 = 0 -36 + -14x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + -7x + x2) = 0 Factor a trinomial. 2((-2 + -1x)(9 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -2Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-2, 9}
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