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Simplifying x2 + 3x + -70 = 410 + -1x Reorder the terms: -70 + 3x + x2 = 410 + -1x Solving -70 + 3x + x2 = 410 + -1x Solving for variable 'x'. Reorder the terms: -70 + -410 + 3x + x + x2 = 410 + -1x + -410 + x Combine like terms: -70 + -410 = -480 -480 + 3x + x + x2 = 410 + -1x + -410 + x Combine like terms: 3x + x = 4x -480 + 4x + x2 = 410 + -1x + -410 + x Reorder the terms: -480 + 4x + x2 = 410 + -410 + -1x + x Combine like terms: 410 + -410 = 0 -480 + 4x + x2 = 0 + -1x + x -480 + 4x + x2 = -1x + x Combine like terms: -1x + x = 0 -480 + 4x + x2 = 0 Factor a trinomial. (-24 + -1x)(20 + -1x) = 0Subproblem 1
Set the factor '(-24 + -1x)' equal to zero and attempt to solve: Simplifying -24 + -1x = 0 Solving -24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 0 + 24 -1x = 0 + 24 Combine like terms: 0 + 24 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-24, 20}
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