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Simplifying (x2 + -3x + -4) * Log(5)(3x + -6) = 0 Reorder the terms: (-4 + -3x + x2) * Log(5)(3x + -6) = 0 Reorder the terms: (-4 + -3x + x2) * goL * 5(-6 + 3x) = 0 Reorder the terms for easier multiplication: 5goL(-4 + -3x + x2)(-6 + 3x) = 0 Multiply (-4 + -3x + x2) * (-6 + 3x) 5goL(-4(-6 + 3x) + -3x * (-6 + 3x) + x2(-6 + 3x)) = 0 5goL((-6 * -4 + 3x * -4) + -3x * (-6 + 3x) + x2(-6 + 3x)) = 0 5goL((24 + -12x) + -3x * (-6 + 3x) + x2(-6 + 3x)) = 0 5goL(24 + -12x + (-6 * -3x + 3x * -3x) + x2(-6 + 3x)) = 0 5goL(24 + -12x + (18x + -9x2) + x2(-6 + 3x)) = 0 5goL(24 + -12x + 18x + -9x2 + (-6 * x2 + 3x * x2)) = 0 5goL(24 + -12x + 18x + -9x2 + (-6x2 + 3x3)) = 0 Combine like terms: -12x + 18x = 6x 5goL(24 + 6x + -9x2 + -6x2 + 3x3) = 0 Combine like terms: -9x2 + -6x2 = -15x2 5goL(24 + 6x + -15x2 + 3x3) = 0 (24 * 5goL + 6x * 5goL + -15x2 * 5goL + 3x3 * 5goL) = 0 (120goL + 30goxL + -75gox2L + 15gox3L) = 0 Solving 120goL + 30goxL + -75gox2L + 15gox3L = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '15goL'. 15goL(8 + 2x + -5x2 + x3) = 0 Ignore the factor 15.Subproblem 1
Set the factor 'goL' equal to zero and attempt to solve: Simplifying goL = 0 Solving goL = 0 Move all terms containing g to the left, all other terms to the right. Simplifying goL = 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 '(8 + 2x + -5x2 + x3)' equal to zero and attempt to solve: Simplifying 8 + 2x + -5x2 + x3 = 0 Solving 8 + 2x + -5x2 + x3 = 0 Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2x + -5x2 + -8 + x3 = 0 + -8 Reorder the terms: 8 + -8 + 2x + -5x2 + x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2x + -5x2 + x3 = 0 + -8 2x + -5x2 + x3 = 0 + -8 Combine like terms: 0 + -8 = -8 2x + -5x2 + x3 = -8 Add '-2x' to each side of the equation. 2x + -5x2 + -2x + x3 = -8 + -2x Reorder the terms: 2x + -2x + -5x2 + x3 = -8 + -2x Combine like terms: 2x + -2x = 0 0 + -5x2 + x3 = -8 + -2x -5x2 + x3 = -8 + -2x Add '5x2' to each side of the equation. -5x2 + 5x2 + x3 = -8 + -2x + 5x2 Combine like terms: -5x2 + 5x2 = 0 0 + x3 = -8 + -2x + 5x2 x3 = -8 + -2x + 5x2 Add '-1x3' to each side of the equation. x3 + -1x3 = -8 + -2x + 5x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = -8 + -2x + 5x2 + -1x3 Simplifying 0 = -8 + -2x + 5x2 + -1x3 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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