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Simplifying 10x2 + 5x + 11 = 9x2 + -1x + 2 Reorder the terms: 11 + 5x + 10x2 = 9x2 + -1x + 2 Reorder the terms: 11 + 5x + 10x2 = 2 + -1x + 9x2 Solving 11 + 5x + 10x2 = 2 + -1x + 9x2 Solving for variable 'x'. Reorder the terms: 11 + -2 + 5x + x + 10x2 + -9x2 = 2 + -1x + 9x2 + -2 + x + -9x2 Combine like terms: 11 + -2 = 9 9 + 5x + x + 10x2 + -9x2 = 2 + -1x + 9x2 + -2 + x + -9x2 Combine like terms: 5x + x = 6x 9 + 6x + 10x2 + -9x2 = 2 + -1x + 9x2 + -2 + x + -9x2 Combine like terms: 10x2 + -9x2 = 1x2 9 + 6x + 1x2 = 2 + -1x + 9x2 + -2 + x + -9x2 Reorder the terms: 9 + 6x + 1x2 = 2 + -2 + -1x + x + 9x2 + -9x2 Combine like terms: 2 + -2 = 0 9 + 6x + 1x2 = 0 + -1x + x + 9x2 + -9x2 9 + 6x + 1x2 = -1x + x + 9x2 + -9x2 Combine like terms: -1x + x = 0 9 + 6x + 1x2 = 0 + 9x2 + -9x2 9 + 6x + 1x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 9 + 6x + 1x2 = 0 Factor a trinomial. (3 + x)(3 + x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-3, -3}
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