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Simplifying x(2x + -1) = 190 Reorder the terms: x(-1 + 2x) = 190 (-1 * x + 2x * x) = 190 (-1x + 2x2) = 190 Solving -1x + 2x2 = 190 Solving for variable 'x'. Reorder the terms: -190 + -1x + 2x2 = 190 + -190 Combine like terms: 190 + -190 = 0 -190 + -1x + 2x2 = 0 Factor a trinomial. (-19 + -2x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-9.5, 10}
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