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Simplifying 8x2 = 22x + -15 Reorder the terms: 8x2 = -15 + 22x Solving 8x2 = -15 + 22x Solving for variable 'x'. Reorder the terms: 15 + -22x + 8x2 = -15 + 22x + 15 + -22x Reorder the terms: 15 + -22x + 8x2 = -15 + 15 + 22x + -22x Combine like terms: -15 + 15 = 0 15 + -22x + 8x2 = 0 + 22x + -22x 15 + -22x + 8x2 = 22x + -22x Combine like terms: 22x + -22x = 0 15 + -22x + 8x2 = 0 Factor a trinomial. (5 + -4x)(3 + -2x) = 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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {1.25, 1.5}
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