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Simplifying 8x2 + 34x + 24 = 1366 Reorder the terms: 24 + 34x + 8x2 = 1366 Solving 24 + 34x + 8x2 = 1366 Solving for variable 'x'. Reorder the terms: 24 + -1366 + 34x + 8x2 = 1366 + -1366 Combine like terms: 24 + -1366 = -1342 -1342 + 34x + 8x2 = 1366 + -1366 Combine like terms: 1366 + -1366 = 0 -1342 + 34x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-671 + 17x + 4x2) = 0 Factor a trinomial. 2((-61 + -4x)(11 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-61 + -4x)' equal to zero and attempt to solve: Simplifying -61 + -4x = 0 Solving -61 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + -4x = 0 + 61 Combine like terms: -61 + 61 = 0 0 + -4x = 0 + 61 -4x = 0 + 61 Combine like terms: 0 + 61 = 61 -4x = 61 Divide each side by '-4'. x = -15.25 Simplifying x = -15.25Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-15.25, 11}
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