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Simplifying Log(7)(3x) + log(7)(2x + -1) = log(7)(16x + -10) Remove parenthesis around (3x) goL * 7 * 3x + log(7)(2x + -1) = log(7)(16x + -10) Reorder the terms for easier multiplication: 7 * 3goL * x + log(7)(2x + -1) = log(7)(16x + -10) Multiply 7 * 3 21goL * x + log(7)(2x + -1) = log(7)(16x + -10) Multiply goL * x 21goxL + log(7)(2x + -1) = log(7)(16x + -10) Reorder the terms: 21goxL + glo * 7(-1 + 2x) = log(7)(16x + -10) Reorder the terms for easier multiplication: 21goxL + 7glo(-1 + 2x) = log(7)(16x + -10) 21goxL + (-1 * 7glo + 2x * 7glo) = log(7)(16x + -10) 21goxL + (-7glo + 14glox) = log(7)(16x + -10) Reorder the terms: -7glo + 14glox + 21goxL = log(7)(16x + -10) Reorder the terms: -7glo + 14glox + 21goxL = glo * 7(-10 + 16x) Reorder the terms for easier multiplication: -7glo + 14glox + 21goxL = 7glo(-10 + 16x) -7glo + 14glox + 21goxL = (-10 * 7glo + 16x * 7glo) -7glo + 14glox + 21goxL = (-70glo + 112glox) Solving -7glo + 14glox + 21goxL = -70glo + 112glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '70glo' to each side of the equation. -7glo + 14glox + 70glo + 21goxL = -70glo + 70glo + 112glox Reorder the terms: -7glo + 70glo + 14glox + 21goxL = -70glo + 70glo + 112glox Combine like terms: -7glo + 70glo = 63glo 63glo + 14glox + 21goxL = -70glo + 70glo + 112glox Combine like terms: -70glo + 70glo = 0 63glo + 14glox + 21goxL = 0 + 112glox 63glo + 14glox + 21goxL = 112glox Add '-112glox' to each side of the equation. 63glo + 14glox + -112glox + 21goxL = 112glox + -112glox Combine like terms: 14glox + -112glox = -98glox 63glo + -98glox + 21goxL = 112glox + -112glox Combine like terms: 112glox + -112glox = 0 63glo + -98glox + 21goxL = 0 Factor out the Greatest Common Factor (GCF), '7go'. 7go(9l + -14lx + 3xL) = 0 Ignore the factor 7.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 '(9l + -14lx + 3xL)' equal to zero and attempt to solve: Simplifying 9l + -14lx + 3xL = 0 Solving 9l + -14lx + 3xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-9l' to each side of the equation. 9l + -14lx + -9l + 3xL = 0 + -9l Reorder the terms: 9l + -9l + -14lx + 3xL = 0 + -9l Combine like terms: 9l + -9l = 0 0 + -14lx + 3xL = 0 + -9l -14lx + 3xL = 0 + -9l Remove the zero: -14lx + 3xL = -9l Add '14lx' to each side of the equation. -14lx + 14lx + 3xL = -9l + 14lx Combine like terms: -14lx + 14lx = 0 0 + 3xL = -9l + 14lx 3xL = -9l + 14lx Add '-3xL' to each side of the equation. 3xL + -3xL = -9l + 14lx + -3xL Combine like terms: 3xL + -3xL = 0 0 = -9l + 14lx + -3xL Simplifying 0 = -9l + 14lx + -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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