12(10-7)+9g=g(2square+5)+36

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Solution for 12(10-7)+9g=g(2square+5)+36 equation:


Simplifying
12(10 + -7) + 9g = g(2square + 5) + 36

Combine like terms: 10 + -7 = 3
12(3) + 9g = g(2square + 5) + 36

Multiply 12 * 3
36 + 9g = g(2square + 5) + 36

Reorder the terms:
36 + 9g = g(5 + 2aeqrsu) + 36
36 + 9g = (5 * g + 2aeqrsu * g) + 36

Reorder the terms:
36 + 9g = (2aegqrsu + 5g) + 36
36 + 9g = (2aegqrsu + 5g) + 36

Reorder the terms:
36 + 9g = 36 + 2aegqrsu + 5g

Add '-36' to each side of the equation.
36 + -36 + 9g = 36 + 2aegqrsu + -36 + 5g

Combine like terms: 36 + -36 = 0
0 + 9g = 36 + 2aegqrsu + -36 + 5g
9g = 36 + 2aegqrsu + -36 + 5g

Reorder the terms:
9g = 36 + -36 + 2aegqrsu + 5g

Combine like terms: 36 + -36 = 0
9g = 0 + 2aegqrsu + 5g
9g = 2aegqrsu + 5g

Solving
9g = 2aegqrsu + 5g

Solving for variable 'g'.

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

Add '-2aegqrsu' to each side of the equation.
-2aegqrsu + 9g = 2aegqrsu + -2aegqrsu + 5g

Combine like terms: 2aegqrsu + -2aegqrsu = 0
-2aegqrsu + 9g = 0 + 5g
-2aegqrsu + 9g = 5g

Add '-5g' to each side of the equation.
-2aegqrsu + 9g + -5g = 5g + -5g

Combine like terms: 9g + -5g = 4g
-2aegqrsu + 4g = 5g + -5g

Combine like terms: 5g + -5g = 0
-2aegqrsu + 4g = 0

Factor out the Greatest Common Factor (GCF), '2g'.
2g(-1aeqrsu + 2) = 0

Ignore the factor 2.

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 '(-1aeqrsu + 2)' equal to zero and attempt to solve: Simplifying -1aeqrsu + 2 = 0 Reorder the terms: 2 + -1aeqrsu = 0 Solving 2 + -1aeqrsu = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1aeqrsu = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1aeqrsu = 0 + -2 -1aeqrsu = 0 + -2 Combine like terms: 0 + -2 = -2 -1aeqrsu = -2 Add 'aeqrsu' to each side of the equation. -1aeqrsu + aeqrsu = -2 + aeqrsu Combine like terms: -1aeqrsu + aeqrsu = 0 0 = -2 + aeqrsu Simplifying 0 = -2 + aeqrsu 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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