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Simplifying 8x2 + -34x + 24 = -11 Reorder the terms: 24 + -34x + 8x2 = -11 Solving 24 + -34x + 8x2 = -11 Solving for variable 'x'. Reorder the terms: 24 + 11 + -34x + 8x2 = -11 + 11 Combine like terms: 24 + 11 = 35 35 + -34x + 8x2 = -11 + 11 Combine like terms: -11 + 11 = 0 35 + -34x + 8x2 = 0 Factor a trinomial. (7 + -4x)(5 + -2x) = 0Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {1.75, 2.5}
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