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Simplifying 4x2 + -33x + 31 = -8x + 6 Reorder the terms: 31 + -33x + 4x2 = -8x + 6 Reorder the terms: 31 + -33x + 4x2 = 6 + -8x Solving 31 + -33x + 4x2 = 6 + -8x Solving for variable 'x'. Reorder the terms: 31 + -6 + -33x + 8x + 4x2 = 6 + -8x + -6 + 8x Combine like terms: 31 + -6 = 25 25 + -33x + 8x + 4x2 = 6 + -8x + -6 + 8x Combine like terms: -33x + 8x = -25x 25 + -25x + 4x2 = 6 + -8x + -6 + 8x Reorder the terms: 25 + -25x + 4x2 = 6 + -6 + -8x + 8x Combine like terms: 6 + -6 = 0 25 + -25x + 4x2 = 0 + -8x + 8x 25 + -25x + 4x2 = -8x + 8x Combine like terms: -8x + 8x = 0 25 + -25x + 4x2 = 0 Factor a trinomial. (5 + -4x)(5 + -1x) = 0Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Subproblem 2
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 = 5Solution
x = {1.25, 5}
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