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Simplifying 64x2 + -644x + 1552 = 0 Reorder the terms: 1552 + -644x + 64x2 = 0 Solving 1552 + -644x + 64x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(388 + -161x + 16x2) = 0 Factor a trinomial. 4((4 + -1x)(97 + -16x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(97 + -16x)' equal to zero and attempt to solve: Simplifying 97 + -16x = 0 Solving 97 + -16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-97' to each side of the equation. 97 + -97 + -16x = 0 + -97 Combine like terms: 97 + -97 = 0 0 + -16x = 0 + -97 -16x = 0 + -97 Combine like terms: 0 + -97 = -97 -16x = -97 Divide each side by '-16'. x = 6.0625 Simplifying x = 6.0625Solution
x = {4, 6.0625}
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