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Simplifying x2 + 5x = 40 + -1x Reorder the terms: 5x + x2 = 40 + -1x Solving 5x + x2 = 40 + -1x Solving for variable 'x'. Reorder the terms: -40 + 5x + x + x2 = 40 + -1x + -40 + x Combine like terms: 5x + x = 6x -40 + 6x + x2 = 40 + -1x + -40 + x Reorder the terms: -40 + 6x + x2 = 40 + -40 + -1x + x Combine like terms: 40 + -40 = 0 -40 + 6x + x2 = 0 + -1x + x -40 + 6x + x2 = -1x + x Combine like terms: -1x + x = 0 -40 + 6x + x2 = 0 Factor a trinomial. (-10 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-10, 4}
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