g(14+8x)=g(6x+5)

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Solution for g(14+8x)=g(6x+5) equation:


Simplifying
g(14 + 8x) = g(6x + 5)
(14 * g + 8x * g) = g(6x + 5)
(14g + 8gx) = g(6x + 5)

Reorder the terms:
14g + 8gx = g(5 + 6x)
14g + 8gx = (5 * g + 6x * g)
14g + 8gx = (5g + 6gx)

Solving
14g + 8gx = 5g + 6gx

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-5g' to each side of the equation.
14g + -5g + 8gx = 5g + -5g + 6gx

Combine like terms: 14g + -5g = 9g
9g + 8gx = 5g + -5g + 6gx

Combine like terms: 5g + -5g = 0
9g + 8gx = 0 + 6gx
9g + 8gx = 6gx

Add '-6gx' to each side of the equation.
9g + 8gx + -6gx = 6gx + -6gx

Combine like terms: 8gx + -6gx = 2gx
9g + 2gx = 6gx + -6gx

Combine like terms: 6gx + -6gx = 0
9g + 2gx = 0

Factor out the Greatest Common Factor (GCF), 'g'.
g(9 + 2x) = 0

Subproblem 1

Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0

Subproblem 2

Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Add '-2x' to each side of the equation. 2x + -2x = -9 + -2x Combine like terms: 2x + -2x = 0 0 = -9 + -2x Simplifying 0 = -9 + -2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

g = {0}

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