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Simplifying -3x2 + -75x = 462 Reorder the terms: -75x + -3x2 = 462 Solving -75x + -3x2 = 462 Solving for variable 'x'. Reorder the terms: -462 + -75x + -3x2 = 462 + -462 Combine like terms: 462 + -462 = 0 -462 + -75x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(154 + 25x + x2) = 0 Factor a trinomial. -3((14 + x)(11 + x)) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {-14, -11}
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