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Simplifying x(2x + 5) = 133 Reorder the terms: x(5 + 2x) = 133 (5 * x + 2x * x) = 133 (5x + 2x2) = 133 Solving 5x + 2x2 = 133 Solving for variable 'x'. Reorder the terms: -133 + 5x + 2x2 = 133 + -133 Combine like terms: 133 + -133 = 0 -133 + 5x + 2x2 = 0 Factor a trinomial. (-19 + -2x)(7 + -1x) = 0Subproblem 1
Set the factor '(-19 + -2x)' equal to zero and attempt to solve: Simplifying -19 + -2x = 0 Solving -19 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -2x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -2x = 0 + 19 -2x = 0 + 19 Combine like terms: 0 + 19 = 19 -2x = 19 Divide each side by '-2'. x = -9.5 Simplifying x = -9.5Subproblem 2
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 = 7Solution
x = {-9.5, 7}
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