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Simplifying Log * 8(3x + 10) = log * 8(5x + -8) Reorder the terms: goL * 8(10 + 3x) = log * 8(5x + -8) Reorder the terms for easier multiplication: 8goL(10 + 3x) = log * 8(5x + -8) (10 * 8goL + 3x * 8goL) = log * 8(5x + -8) (80goL + 24goxL) = log * 8(5x + -8) Reorder the terms: 80goL + 24goxL = glo * 8(-8 + 5x) Reorder the terms for easier multiplication: 80goL + 24goxL = 8glo(-8 + 5x) 80goL + 24goxL = (-8 * 8glo + 5x * 8glo) 80goL + 24goxL = (-64glo + 40glox) Solving 80goL + 24goxL = -64glo + 40glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '64glo' to each side of the equation. 80goL + 64glo + 24goxL = -64glo + 64glo + 40glox Reorder the terms: 64glo + 80goL + 24goxL = -64glo + 64glo + 40glox Combine like terms: -64glo + 64glo = 0 64glo + 80goL + 24goxL = 0 + 40glox 64glo + 80goL + 24goxL = 40glox Add '-40glox' to each side of the equation. 64glo + 80goL + -40glox + 24goxL = 40glox + -40glox Reorder the terms: 64glo + -40glox + 80goL + 24goxL = 40glox + -40glox Combine like terms: 40glox + -40glox = 0 64glo + -40glox + 80goL + 24goxL = 0 Factor out the Greatest Common Factor (GCF), '8go'. 8go(8l + -5lx + 10L + 3xL) = 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 '(8l + -5lx + 10L + 3xL)' equal to zero and attempt to solve: Simplifying 8l + -5lx + 10L + 3xL = 0 Reorder the terms: 10L + 8l + -5lx + 3xL = 0 Solving 10L + 8l + -5lx + 3xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-10L' to each side of the equation. 10L + 8l + -5lx + -10L + 3xL = 0 + -10L Reorder the terms: 10L + -10L + 8l + -5lx + 3xL = 0 + -10L Combine like terms: 10L + -10L = 0 0 + 8l + -5lx + 3xL = 0 + -10L 8l + -5lx + 3xL = 0 + -10L Remove the zero: 8l + -5lx + 3xL = -10L Add '-8l' to each side of the equation. 8l + -5lx + -8l + 3xL = -10L + -8l Reorder the terms: 8l + -8l + -5lx + 3xL = -10L + -8l Combine like terms: 8l + -8l = 0 0 + -5lx + 3xL = -10L + -8l -5lx + 3xL = -10L + -8l Add '5lx' to each side of the equation. -5lx + 5lx + 3xL = -10L + -8l + 5lx Combine like terms: -5lx + 5lx = 0 0 + 3xL = -10L + -8l + 5lx 3xL = -10L + -8l + 5lx Add '-3xL' to each side of the equation. 3xL + -3xL = -10L + -8l + 5lx + -3xL Combine like terms: 3xL + -3xL = 0 0 = -10L + -8l + 5lx + -3xL Simplifying 0 = -10L + -8l + 5lx + -3xL 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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