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Simplifying (x4 + 8)(-7x2) = 0 Reorder the terms: (8 + x4)(-7x2) = 0 Remove parenthesis around (-7x2) (8 + x4) * -7x2 = 0 Reorder the terms for easier multiplication: -7x2(8 + x4) = 0 (8 * -7x2 + x4 * -7x2) = 0 (-56x2 + -7x6) = 0 Solving -56x2 + -7x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-7x2'. -7x2(8 + x4) = 0 Ignore the factor -7.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(8 + x4)' equal to zero and attempt to solve: Simplifying 8 + x4 = 0 Solving 8 + x4 = 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 + x4 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x4 = 0 + -8 x4 = 0 + -8 Combine like terms: 0 + -8 = -8 x4 = -8 Simplifying x4 = -8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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