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Simplifying x(x + 1) + -10(x + 1) = 0 Reorder the terms: x(1 + x) + -10(x + 1) = 0 (1 * x + x * x) + -10(x + 1) = 0 (1x + x2) + -10(x + 1) = 0 Reorder the terms: 1x + x2 + -10(1 + x) = 0 1x + x2 + (1 * -10 + x * -10) = 0 1x + x2 + (-10 + -10x) = 0 Reorder the terms: -10 + 1x + -10x + x2 = 0 Combine like terms: 1x + -10x = -9x -10 + -9x + x2 = 0 Solving -10 + -9x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 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 = {-1, 10}
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