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Simplifying 32X2 + -52X + 18 = 0 Reorder the terms: 18 + -52X + 32X2 = 0 Solving 18 + -52X + 32X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -26X + 16X2) = 0 Factor a trinomial. 2((1 + -2X)(9 + -8X)) = 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 '(9 + -8X)' equal to zero and attempt to solve: Simplifying 9 + -8X = 0 Solving 9 + -8X = 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 + -8X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8X = 0 + -9 -8X = 0 + -9 Combine like terms: 0 + -9 = -9 -8X = -9 Divide each side by '-8'. X = 1.125 Simplifying X = 1.125Solution
X = {0.5, 1.125}
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