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Simplifying Log * 4(x + 5) = log * 4(2x + -7) Reorder the terms: goL * 4(5 + x) = log * 4(2x + -7) Reorder the terms for easier multiplication: 4goL(5 + x) = log * 4(2x + -7) (5 * 4goL + x * 4goL) = log * 4(2x + -7) (20goL + 4goxL) = log * 4(2x + -7) Reorder the terms: 20goL + 4goxL = glo * 4(-7 + 2x) Reorder the terms for easier multiplication: 20goL + 4goxL = 4glo(-7 + 2x) 20goL + 4goxL = (-7 * 4glo + 2x * 4glo) 20goL + 4goxL = (-28glo + 8glox) Solving 20goL + 4goxL = -28glo + 8glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '28glo' to each side of the equation. 20goL + 28glo + 4goxL = -28glo + 28glo + 8glox Reorder the terms: 28glo + 20goL + 4goxL = -28glo + 28glo + 8glox Combine like terms: -28glo + 28glo = 0 28glo + 20goL + 4goxL = 0 + 8glox 28glo + 20goL + 4goxL = 8glox Add '-8glox' to each side of the equation. 28glo + 20goL + -8glox + 4goxL = 8glox + -8glox Reorder the terms: 28glo + -8glox + 20goL + 4goxL = 8glox + -8glox Combine like terms: 8glox + -8glox = 0 28glo + -8glox + 20goL + 4goxL = 0 Factor out the Greatest Common Factor (GCF), '4go'. 4go(7l + -2lx + 5L + xL) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(7l + -2lx + 5L + xL)' equal to zero and attempt to solve: Simplifying 7l + -2lx + 5L + xL = 0 Reorder the terms: 5L + 7l + -2lx + xL = 0 Solving 5L + 7l + -2lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-5L' to each side of the equation. 5L + 7l + -2lx + -5L + xL = 0 + -5L Reorder the terms: 5L + -5L + 7l + -2lx + xL = 0 + -5L Combine like terms: 5L + -5L = 0 0 + 7l + -2lx + xL = 0 + -5L 7l + -2lx + xL = 0 + -5L Remove the zero: 7l + -2lx + xL = -5L Add '-7l' to each side of the equation. 7l + -2lx + -7l + xL = -5L + -7l Reorder the terms: 7l + -7l + -2lx + xL = -5L + -7l Combine like terms: 7l + -7l = 0 0 + -2lx + xL = -5L + -7l -2lx + xL = -5L + -7l Add '2lx' to each side of the equation. -2lx + 2lx + xL = -5L + -7l + 2lx Combine like terms: -2lx + 2lx = 0 0 + xL = -5L + -7l + 2lx xL = -5L + -7l + 2lx Add '-1xL' to each side of the equation. xL + -1xL = -5L + -7l + 2lx + -1xL Combine like terms: xL + -1xL = 0 0 = -5L + -7l + 2lx + -1xL Simplifying 0 = -5L + -7l + 2lx + -1xL 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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