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Simplifying Log * 8(x) + -1log * 8(x + 1) = log * 8(33) Reorder the terms for easier multiplication: 8goL * x + -1log * 8(x + 1) = log * 8(33) Multiply goL * x 8goxL + -1log * 8(x + 1) = log * 8(33) Reorder the terms: 8goxL + -1glo * 8(1 + x) = log * 8(33) Reorder the terms for easier multiplication: 8goxL + -1 * 8glo(1 + x) = log * 8(33) Multiply -1 * 8 8goxL + -8glo(1 + x) = log * 8(33) 8goxL + (1 * -8glo + x * -8glo) = log * 8(33) 8goxL + (-8glo + -8glox) = log * 8(33) Reorder the terms: -8glo + -8glox + 8goxL = log * 8(33) Reorder the terms for easier multiplication: -8glo + -8glox + 8goxL = 8 * 33glo Multiply 8 * 33 -8glo + -8glox + 8goxL = 264glo Solving -8glo + -8glox + 8goxL = 264glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-264glo' to each side of the equation. -8glo + -8glox + -264glo + 8goxL = 264glo + -264glo Reorder the terms: -8glo + -264glo + -8glox + 8goxL = 264glo + -264glo Combine like terms: -8glo + -264glo = -272glo -272glo + -8glox + 8goxL = 264glo + -264glo Combine like terms: 264glo + -264glo = 0 -272glo + -8glox + 8goxL = 0 Factor out the Greatest Common Factor (GCF), '8go'. 8go(-34l + -1lx + xL) = 0 Ignore the factor 8.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 '(-34l + -1lx + xL)' equal to zero and attempt to solve: Simplifying -34l + -1lx + xL = 0 Solving -34l + -1lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '34l' to each side of the equation. -34l + -1lx + 34l + xL = 0 + 34l Reorder the terms: -34l + 34l + -1lx + xL = 0 + 34l Combine like terms: -34l + 34l = 0 0 + -1lx + xL = 0 + 34l -1lx + xL = 0 + 34l Remove the zero: -1lx + xL = 34l Add 'lx' to each side of the equation. -1lx + lx + xL = 34l + lx Combine like terms: -1lx + lx = 0 0 + xL = 34l + lx xL = 34l + lx Add '-1xL' to each side of the equation. xL + -1xL = 34l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = 34l + lx + -1xL Simplifying 0 = 34l + lx + -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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