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Simplifying x(2x + 7) = 624 Reorder the terms: x(7 + 2x) = 624 (7 * x + 2x * x) = 624 (7x + 2x2) = 624 Solving 7x + 2x2 = 624 Solving for variable 'x'. Reorder the terms: -624 + 7x + 2x2 = 624 + -624 Combine like terms: 624 + -624 = 0 -624 + 7x + 2x2 = 0 Factor a trinomial. (-39 + -2x)(16 + -1x) = 0Subproblem 1
Set the factor '(-39 + -2x)' equal to zero and attempt to solve: Simplifying -39 + -2x = 0 Solving -39 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -2x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -2x = 0 + 39 -2x = 0 + 39 Combine like terms: 0 + 39 = 39 -2x = 39 Divide each side by '-2'. x = -19.5 Simplifying x = -19.5Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-19.5, 16}
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