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Simplifying 8x2 + -76x = -36 Reorder the terms: -76x + 8x2 = -36 Solving -76x + 8x2 = -36 Solving for variable 'x'. Reorder the terms: 36 + -76x + 8x2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + -76x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(9 + -19x + 2x2) = 0 Factor a trinomial. 4((1 + -2x)(9 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {0.5, 9}
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