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Simplifying x(x) + -10(x + -1) = -11 Multiply x * x x2 + -10(x + -1) = -11 Reorder the terms: x2 + -10(-1 + x) = -11 x2 + (-1 * -10 + x * -10) = -11 x2 + (10 + -10x) = -11 Reorder the terms: 10 + -10x + x2 = -11 Solving 10 + -10x + x2 = -11 Solving for variable 'x'. Reorder the terms: 10 + 11 + -10x + x2 = -11 + 11 Combine like terms: 10 + 11 = 21 21 + -10x + x2 = -11 + 11 Combine like terms: -11 + 11 = 0 21 + -10x + x2 = 0 Factor a trinomial. (3 + -1x)(7 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 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 = {3, 7}
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