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Simplifying X7 = 25X5 Solving X7 = 25X5 Solving for variable 'X'. Reorder the terms: -25X5 + X7 = 25X5 + -25X5 Combine like terms: 25X5 + -25X5 = 0 -25X5 + X7 = 0 Factor out the Greatest Common Factor (GCF), 'X5'. X5(-25 + X2) = 0 Factor a difference between two squares. X5((5 + X)(-5 + X)) = 0Subproblem 1
Set the factor 'X5' equal to zero and attempt to solve: Simplifying X5 = 0 Solving X5 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X5 = 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 '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 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 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 X = -5 Simplifying X = -5Subproblem 3
Set the factor '(-5 + X)' equal to zero and attempt to solve: Simplifying -5 + X = 0 Solving -5 + X = 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 + X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + X = 0 + 5 X = 0 + 5 Combine like terms: 0 + 5 = 5 X = 5 Simplifying X = 5Solution
X = {-5, 5}
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