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Simplifying 91 = X(2X + -1) Reorder the terms: 91 = X(-1 + 2X) 91 = (-1 * X + 2X * X) 91 = (-1X + 2X2) Solving 91 = -1X + 2X2 Solving for variable 'X'. Reorder the terms: 91 + X + -2X2 = -1X + X + 2X2 + -2X2 Combine like terms: -1X + X = 0 91 + X + -2X2 = 0 + 2X2 + -2X2 91 + X + -2X2 = 2X2 + -2X2 Combine like terms: 2X2 + -2X2 = 0 91 + X + -2X2 = 0 Factor a trinomial. (7 + -1X)(13 + 2X) = 0Subproblem 1
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 = 7Subproblem 2
Set the factor '(13 + 2X)' equal to zero and attempt to solve: Simplifying 13 + 2X = 0 Solving 13 + 2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2X = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2X = 0 + -13 2X = 0 + -13 Combine like terms: 0 + -13 = -13 2X = -13 Divide each side by '2'. X = -6.5 Simplifying X = -6.5Solution
X = {7, -6.5}
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