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Simplifying 64x2 + -52x + 10 = 0 Reorder the terms: 10 + -52x + 64x2 = 0 Solving 10 + -52x + 64x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -26x + 32x2) = 0 Factor a trinomial. 2((5 + -16x)(1 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -16x)' equal to zero and attempt to solve: Simplifying 5 + -16x = 0 Solving 5 + -16x = 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 + -16x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -16x = 0 + -5 -16x = 0 + -5 Combine like terms: 0 + -5 = -5 -16x = -5 Divide each side by '-16'. x = 0.3125 Simplifying x = 0.3125Subproblem 2
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 = 0.5Solution
x = {0.3125, 0.5}
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