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Simplifying -5x2 + x + 15 = 35 + -6x2 Reorder the terms: 15 + x + -5x2 = 35 + -6x2 Solving 15 + x + -5x2 = 35 + -6x2 Solving for variable 'x'. Reorder the terms: 15 + -35 + x + -5x2 + 6x2 = 35 + -6x2 + -35 + 6x2 Combine like terms: 15 + -35 = -20 -20 + x + -5x2 + 6x2 = 35 + -6x2 + -35 + 6x2 Combine like terms: -5x2 + 6x2 = 1x2 -20 + x + 1x2 = 35 + -6x2 + -35 + 6x2 Reorder the terms: -20 + x + 1x2 = 35 + -35 + -6x2 + 6x2 Combine like terms: 35 + -35 = 0 -20 + x + 1x2 = 0 + -6x2 + 6x2 -20 + x + 1x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -20 + x + 1x2 = 0 Factor a trinomial. (-5 + -1x)(4 + -1x) = 0Subproblem 1
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 = -5Subproblem 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 = {-5, 4}
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