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Simplifying 2x2 + -34x + 289 = 625 Reorder the terms: 289 + -34x + 2x2 = 625 Solving 289 + -34x + 2x2 = 625 Solving for variable 'x'. Reorder the terms: 289 + -625 + -34x + 2x2 = 625 + -625 Combine like terms: 289 + -625 = -336 -336 + -34x + 2x2 = 625 + -625 Combine like terms: 625 + -625 = 0 -336 + -34x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-168 + -17x + x2) = 0 Factor a trinomial. 2((-7 + -1x)(24 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Solution
x = {-7, 24}
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