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Simplifying 8x2 + -34x + -1342 = 0 Reorder the terms: -1342 + -34x + 8x2 = 0 Solving -1342 + -34x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-671 + -17x + 4x2) = 0 Factor a trinomial. 2((-11 + -1x)(61 + -4x)) = 0 Ignore the factor 2.Subproblem 1
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 = -11Subproblem 2
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 = 15.25Solution
x = {-11, 15.25}
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