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Simplifying -72x2 + 56x + -10 = 0 Reorder the terms: -10 + 56x + -72x2 = 0 Solving -10 + 56x + -72x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 28x + -36x2) = 0 Factor a trinomial. 2((-1 + 2x)(5 + -18x)) = 0 Ignore the factor 2.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 '(5 + -18x)' equal to zero and attempt to solve: Simplifying 5 + -18x = 0 Solving 5 + -18x = 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 + -18x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -18x = 0 + -5 -18x = 0 + -5 Combine like terms: 0 + -5 = -5 -18x = -5 Divide each side by '-18'. x = 0.2777777778 Simplifying x = 0.2777777778Solution
x = {0.5, 0.2777777778}
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