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Simplifying x2 + -10 + 5x + 4 = 2x2 + -42 Reorder the terms: -10 + 4 + 5x + x2 = 2x2 + -42 Combine like terms: -10 + 4 = -6 -6 + 5x + x2 = 2x2 + -42 Reorder the terms: -6 + 5x + x2 = -42 + 2x2 Solving -6 + 5x + x2 = -42 + 2x2 Solving for variable 'x'. Reorder the terms: -6 + 42 + 5x + x2 + -2x2 = -42 + 2x2 + 42 + -2x2 Combine like terms: -6 + 42 = 36 36 + 5x + x2 + -2x2 = -42 + 2x2 + 42 + -2x2 Combine like terms: x2 + -2x2 = -1x2 36 + 5x + -1x2 = -42 + 2x2 + 42 + -2x2 Reorder the terms: 36 + 5x + -1x2 = -42 + 42 + 2x2 + -2x2 Combine like terms: -42 + 42 = 0 36 + 5x + -1x2 = 0 + 2x2 + -2x2 36 + 5x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 36 + 5x + -1x2 = 0 Factor a trinomial. (9 + -1x)(4 + x) = 0Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {9, -4}
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