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Simplifying 8x(-7)(-1x + 97) = 0 Reorder the terms: 8x * -7(97 + -1x) = 0 Reorder the terms for easier multiplication: 8 * -7x(97 + -1x) = 0 Multiply 8 * -7 -56x(97 + -1x) = 0 (97 * -56x + -1x * -56x) = 0 (-5432x + 56x2) = 0 Solving -5432x + 56x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '56x'. 56x(-97 + x) = 0 Ignore the factor 56.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-97 + x)' equal to zero and attempt to solve: Simplifying -97 + x = 0 Solving -97 + x = 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 + x = 0 + 97 Combine like terms: -97 + 97 = 0 0 + x = 0 + 97 x = 0 + 97 Combine like terms: 0 + 97 = 97 x = 97 Simplifying x = 97Solution
x = {0, 97}
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