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Simplifying x + 3 + x + 5 + x2 + -3x + 4x + -2 = 46 Reorder the terms: 3 + 5 + -2 + x + x + -3x + 4x + x2 = 46 Combine like terms: 3 + 5 = 8 8 + -2 + x + x + -3x + 4x + x2 = 46 Combine like terms: 8 + -2 = 6 6 + x + x + -3x + 4x + x2 = 46 Combine like terms: x + x = 2x 6 + 2x + -3x + 4x + x2 = 46 Combine like terms: 2x + -3x = -1x 6 + -1x + 4x + x2 = 46 Combine like terms: -1x + 4x = 3x 6 + 3x + x2 = 46 Solving 6 + 3x + x2 = 46 Solving for variable 'x'. Reorder the terms: 6 + -46 + 3x + x2 = 46 + -46 Combine like terms: 6 + -46 = -40 -40 + 3x + x2 = 46 + -46 Combine like terms: 46 + -46 = 0 -40 + 3x + x2 = 0 Factor a trinomial. (-8 + -1x)(5 + -1x) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-8, 5}
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