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Simplifying -5x2 + -150x + 1295 = 0 Reorder the terms: 1295 + -150x + -5x2 = 0 Solving 1295 + -150x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(259 + -30x + -1x2) = 0 Factor a trinomial. 5((7 + -1x)(37 + x)) = 0 Ignore the factor 5.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 '(37 + x)' equal to zero and attempt to solve: Simplifying 37 + x = 0 Solving 37 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + x = 0 + -37 x = 0 + -37 Combine like terms: 0 + -37 = -37 x = -37 Simplifying x = -37Solution
x = {7, -37}
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