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Simplifying x(10x + -9) + 11(10x + -9) = 0 Reorder the terms: x(-9 + 10x) + 11(10x + -9) = 0 (-9 * x + 10x * x) + 11(10x + -9) = 0 (-9x + 10x2) + 11(10x + -9) = 0 Reorder the terms: -9x + 10x2 + 11(-9 + 10x) = 0 -9x + 10x2 + (-9 * 11 + 10x * 11) = 0 -9x + 10x2 + (-99 + 110x) = 0 Reorder the terms: -99 + -9x + 110x + 10x2 = 0 Combine like terms: -9x + 110x = 101x -99 + 101x + 10x2 = 0 Solving -99 + 101x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -1x)(9 + -10x) = 0Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
Set the factor '(9 + -10x)' equal to zero and attempt to solve: Simplifying 9 + -10x = 0 Solving 9 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10x = 0 + -9 -10x = 0 + -9 Combine like terms: 0 + -9 = -9 -10x = -9 Divide each side by '-10'. x = 0.9 Simplifying x = 0.9Solution
x = {-11, 0.9}
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