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Simplifying log5(x2 + -2x) = log5(-5 + 10) Reorder the terms: g5lo(-2x + x2) = log5(-5 + 10) (-2x * g5lo + x2 * g5lo) = log5(-5 + 10) (-2g5lox + g5lox2) = log5(-5 + 10) Combine like terms: -5 + 10 = 5 -2g5lox + g5lox2 = g5lo(5) Reorder the terms for easier multiplication: -2g5lox + g5lox2 = 5g5lo Solving -2g5lox + g5lox2 = 5g5lo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g5lo' to each side of the equation. -2g5lox + -5g5lo + g5lox2 = 5g5lo + -5g5lo Reorder the terms: -5g5lo + -2g5lox + g5lox2 = 5g5lo + -5g5lo Combine like terms: 5g5lo + -5g5lo = 0 -5g5lo + -2g5lox + g5lox2 = 0 Factor out the Greatest Common Factor (GCF), 'g5lo'. g5lo(-5 + -2x + x2) = 0Subproblem 1
Set the factor 'g5lo' equal to zero and attempt to solve: Simplifying g5lo = 0 Solving g5lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g5lo = 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 + -2x + x2)' equal to zero and attempt to solve: Simplifying -5 + -2x + x2 = 0 Solving -5 + -2x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -2x + 5 + x2 = 0 + 5 Reorder the terms: -5 + 5 + -2x + x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x + x2 = 0 + 5 -2x + x2 = 0 + 5 Combine like terms: 0 + 5 = 5 -2x + x2 = 5 Add '2x' to each side of the equation. -2x + 2x + x2 = 5 + 2x Combine like terms: -2x + 2x = 0 0 + x2 = 5 + 2x x2 = 5 + 2x Add '-1x2' to each side of the equation. x2 + -1x2 = 5 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 5 + 2x + -1x2 Simplifying 0 = 5 + 2x + -1x2 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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