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Simplifying 7x2 + -63x + 64 = 8 Reorder the terms: 64 + -63x + 7x2 = 8 Solving 64 + -63x + 7x2 = 8 Solving for variable 'x'. Reorder the terms: 64 + -8 + -63x + 7x2 = 8 + -8 Combine like terms: 64 + -8 = 56 56 + -63x + 7x2 = 8 + -8 Combine like terms: 8 + -8 = 0 56 + -63x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(8 + -9x + x2) = 0 Factor a trinomial. 7((1 + -1x)(8 + -1x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {1, 8}
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