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Simplifying (x + 10)(x + -10x + 100) = 0 Reorder the terms: (10 + x)(x + -10x + 100) = 0 Reorder the terms: (10 + x)(100 + x + -10x) = 0 Combine like terms: x + -10x = -9x (10 + x)(100 + -9x) = 0 Multiply (10 + x) * (100 + -9x) (10(100 + -9x) + x(100 + -9x)) = 0 ((100 * 10 + -9x * 10) + x(100 + -9x)) = 0 ((1000 + -90x) + x(100 + -9x)) = 0 (1000 + -90x + (100 * x + -9x * x)) = 0 (1000 + -90x + (100x + -9x2)) = 0 Combine like terms: -90x + 100x = 10x (1000 + 10x + -9x2) = 0 Solving 1000 + 10x + -9x2 = 0 Solving for variable 'x'. Factor a trinomial. (100 + -9x)(10 + x) = 0Subproblem 1
Set the factor '(100 + -9x)' equal to zero and attempt to solve: Simplifying 100 + -9x = 0 Solving 100 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -9x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -9x = 0 + -100 -9x = 0 + -100 Combine like terms: 0 + -100 = -100 -9x = -100 Divide each side by '-9'. x = 11.11111111 Simplifying x = 11.11111111Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {11.11111111, -10}
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