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Simplifying -8x2 + 22x + -8 = 7 Reorder the terms: -8 + 22x + -8x2 = 7 Solving -8 + 22x + -8x2 = 7 Solving for variable 'x'. Reorder the terms: -8 + -7 + 22x + -8x2 = 7 + -7 Combine like terms: -8 + -7 = -15 -15 + 22x + -8x2 = 7 + -7 Combine like terms: 7 + -7 = 0 -15 + 22x + -8x2 = 0 Factor a trinomial. (-3 + 2x)(5 + -4x) = 0Subproblem 1
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 = 1.5Subproblem 2
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 = 1.25Solution
x = {1.5, 1.25}
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