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Simplifying X2 * x5 = x7 Multiply X2 * x5 x5X2 = x7 Solving x5X2 = x7 Solving for variable 'x'. Combine like terms: x7 + -1x7 = 0 x5X2 + -1x7 = 0 Factor out the Greatest Common Factor (GCF), 'x5'. x5(X2 + -1x2) = 0 Factor a difference between two squares. x5((X + x)(X + -1x)) = 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 '(X + x)' equal to zero and attempt to solve: Simplifying X + x = 0 Solving X + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1X' to each side of the equation. X + -1X + x = 0 + -1X Combine like terms: X + -1X = 0 0 + x = 0 + -1X x = 0 + -1X Remove the zero: x = -1X Simplifying x = -1XSubproblem 3
Set the factor '(X + -1x)' equal to zero and attempt to solve: Simplifying X + -1x = 0 Solving X + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1X' to each side of the equation. X + -1X + -1x = 0 + -1X Combine like terms: X + -1X = 0 0 + -1x = 0 + -1X -1x = 0 + -1X Remove the zero: -1x = -1X Divide each side by '-1'. x = X Simplifying x = XSolution
x = {-1X, X}
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