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Simplifying 8x2 = -82x + 651 Reorder the terms: 8x2 = 651 + -82x Solving 8x2 = 651 + -82x Solving for variable 'x'. Reorder the terms: -651 + 82x + 8x2 = 651 + -82x + -651 + 82x Reorder the terms: -651 + 82x + 8x2 = 651 + -651 + -82x + 82x Combine like terms: 651 + -651 = 0 -651 + 82x + 8x2 = 0 + -82x + 82x -651 + 82x + 8x2 = -82x + 82x Combine like terms: -82x + 82x = 0 -651 + 82x + 8x2 = 0 Factor a trinomial. (-31 + -2x)(21 + -4x) = 0Subproblem 1
Set the factor '(-31 + -2x)' equal to zero and attempt to solve: Simplifying -31 + -2x = 0 Solving -31 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -2x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -2x = 0 + 31 -2x = 0 + 31 Combine like terms: 0 + 31 = 31 -2x = 31 Divide each side by '-2'. x = -15.5 Simplifying x = -15.5Subproblem 2
Set the factor '(21 + -4x)' equal to zero and attempt to solve: Simplifying 21 + -4x = 0 Solving 21 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -4x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = 0 + -21 -4x = 0 + -21 Combine like terms: 0 + -21 = -21 -4x = -21 Divide each side by '-4'. x = 5.25 Simplifying x = 5.25Solution
x = {-15.5, 5.25}
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