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Simplifying 133 = x2 + x(x + 5) Reorder the terms: 133 = x2 + x(5 + x) 133 = x2 + (5 * x + x * x) 133 = x2 + (5x + x2) Reorder the terms: 133 = 5x + x2 + x2 Combine like terms: x2 + x2 = 2x2 133 = 5x + 2x2 Solving 133 = 5x + 2x2 Solving for variable 'x'. Reorder the terms: 133 + -5x + -2x2 = 5x + -5x + 2x2 + -2x2 Combine like terms: 5x + -5x = 0 133 + -5x + -2x2 = 0 + 2x2 + -2x2 133 + -5x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 133 + -5x + -2x2 = 0 Factor a trinomial. (7 + -1x)(19 + 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 '(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 = {7, -9.5}
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