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Simplifying (x)(2x + 7) = 400 Reorder the terms: x(7 + 2x) = 400 (7 * x + 2x * x) = 400 (7x + 2x2) = 400 Solving 7x + 2x2 = 400 Solving for variable 'x'. Reorder the terms: -400 + 7x + 2x2 = 400 + -400 Combine like terms: 400 + -400 = 0 -400 + 7x + 2x2 = 0 Factor a trinomial. (-16 + -1x)(25 + -2x) = 0Subproblem 1
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 = -16Subproblem 2
Set the factor '(25 + -2x)' equal to zero and attempt to solve: Simplifying 25 + -2x = 0 Solving 25 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2x = 0 + -25 -2x = 0 + -25 Combine like terms: 0 + -25 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5Solution
x = {-16, 12.5}
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