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Simplifying 4x10 + -9x10 = -5x20 Combine like terms: 4x10 + -9x10 = -5x10 -5x10 = -5x20 Solving -5x10 = -5x20 Solving for variable 'x'. Combine like terms: -5x20 + 5x20 = 0 -5x10 + 5x20 = 0 Factor out the Greatest Common Factor (GCF), '5x10'. 5x10(-1 + x10) = 0 Factor a difference between two squares. 5x10((1 + x5)(-1 + x5)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x10' equal to zero and attempt to solve: Simplifying x10 = 0 Solving x10 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x10 = 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 + x5)' equal to zero and attempt to solve: Simplifying 1 + x5 = 0 Solving 1 + x5 = 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 + x5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x5 = 0 + -1 x5 = 0 + -1 Combine like terms: 0 + -1 = -1 x5 = -1 Simplifying x5 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + x5)' equal to zero and attempt to solve: Simplifying -1 + x5 = 0 Solving -1 + x5 = 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 + x5 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x5 = 0 + 1 x5 = 0 + 1 Combine like terms: 0 + 1 = 1 x5 = 1 Simplifying x5 = 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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