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Simplifying 608 = -16x2 + 624x Reorder the terms: 608 = 624x + -16x2 Solving 608 = 624x + -16x2 Solving for variable 'x'. Reorder the terms: 608 + -624x + 16x2 = 624x + -624x + -16x2 + 16x2 Combine like terms: 624x + -624x = 0 608 + -624x + 16x2 = 0 + -16x2 + 16x2 608 + -624x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 608 + -624x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(38 + -39x + x2) = 0 Factor a trinomial. 16((1 + -1x)(38 + -1x)) = 0 Ignore the factor 16.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 '(38 + -1x)' equal to zero and attempt to solve: Simplifying 38 + -1x = 0 Solving 38 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -1x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -1x = 0 + -38 -1x = 0 + -38 Combine like terms: 0 + -38 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38Solution
x = {1, 38}
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