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Simplifying x2 + 3x + -46 = 42 Reorder the terms: -46 + 3x + x2 = 42 Solving -46 + 3x + x2 = 42 Solving for variable 'x'. Reorder the terms: -46 + -42 + 3x + x2 = 42 + -42 Combine like terms: -46 + -42 = -88 -88 + 3x + x2 = 42 + -42 Combine like terms: 42 + -42 = 0 -88 + 3x + x2 = 0 Factor a trinomial. (-11 + -1x)(8 + -1x) = 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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-11, 8}
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