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Simplifying (-5x5)(x8 + x) = 0 Remove parenthesis around (-5x5) -5x5(x8 + x) = 0 Reorder the terms: -5x5(x + x8) = 0 (x * -5x5 + x8 * -5x5) = 0 (-5x6 + -5x13) = 0 Solving -5x6 + -5x13 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-5x6'. -5x6(1 + x7) = 0 Ignore the factor -5.Subproblem 1
Set the factor 'x6' equal to zero and attempt to solve: Simplifying x6 = 0 Solving x6 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + x7)' equal to zero and attempt to solve: Simplifying 1 + x7 = 0 Solving 1 + x7 = 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 + x7 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x7 = 0 + -1 x7 = 0 + -1 Combine like terms: 0 + -1 = -1 x7 = -1 Simplifying x7 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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