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Simplifying 88 + 19x + 3x2 = 2x2 Solving 88 + 19x + 3x2 = 2x2 Solving for variable 'x'. Combine like terms: 3x2 + -2x2 = 1x2 88 + 19x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 88 + 19x + 1x2 = 0 Factor a trinomial. (11 + x)(8 + x) = 0Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 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 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {-11, -8}
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