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Simplifying 190 = x(2x + -1) Reorder the terms: 190 = x(-1 + 2x) 190 = (-1 * x + 2x * x) 190 = (-1x + 2x2) Solving 190 = -1x + 2x2 Solving for variable 'x'. Reorder the terms: 190 + x + -2x2 = -1x + x + 2x2 + -2x2 Combine like terms: -1x + x = 0 190 + x + -2x2 = 0 + 2x2 + -2x2 190 + x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 190 + x + -2x2 = 0 Factor a trinomial. (10 + -1x)(19 + 2x) = 0Subproblem 1
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 = 10Subproblem 2
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 = -9.5Solution
x = {10, -9.5}
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