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Simplifying x7 = 25x Solving x7 = 25x Solving for variable 'x'. Reorder the terms: -25x + x7 = 25x + -25x Combine like terms: 25x + -25x = 0 -25x + x7 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-25 + x6) = 0 Factor a difference between two squares. x((5 + x3)(-5 + x3)) = 0Subproblem 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 '(5 + x3)' equal to zero and attempt to solve: Simplifying 5 + x3 = 0 Solving 5 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x3 = 0 + -5 x3 = 0 + -5 Combine like terms: 0 + -5 = -5 x3 = -5 Simplifying x3 = -5 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 '(-5 + x3)' equal to zero and attempt to solve: Simplifying -5 + x3 = 0 Solving -5 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x3 = 0 + 5 x3 = 0 + 5 Combine like terms: 0 + 5 = 5 x3 = 5 Simplifying x3 = 5 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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