3-2f(g-X)=-9

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Solution for 3-2f(g-X)=-9 equation:


Simplifying
3 + -2f(g + -1X) = -9

Reorder the terms:
3 + -2f(-1X + g) = -9
3 + (-1X * -2f + g * -2f) = -9
3 + (2fX + -2fg) = -9

Solving
3 + 2fX + -2fg = -9

Solving for variable 'f'.

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

Add '-3' to each side of the equation.
3 + 2fX + -3 + -2fg = -9 + -3

Reorder the terms:
3 + -3 + 2fX + -2fg = -9 + -3

Combine like terms: 3 + -3 = 0
0 + 2fX + -2fg = -9 + -3
2fX + -2fg = -9 + -3

Combine like terms: -9 + -3 = -12
2fX + -2fg = -12

Reorder the terms:
12 + 2fX + -2fg = -12 + 12

Combine like terms: -12 + 12 = 0
12 + 2fX + -2fg = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + fX + -1fg) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(6 + fX + -1fg)' equal to zero and attempt to solve: Simplifying 6 + fX + -1fg = 0 Solving 6 + fX + -1fg = 0 Move all terms containing f to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + fX + -6 + -1fg = 0 + -6 Reorder the terms: 6 + -6 + fX + -1fg = 0 + -6 Combine like terms: 6 + -6 = 0 0 + fX + -1fg = 0 + -6 fX + -1fg = 0 + -6 Combine like terms: 0 + -6 = -6 fX + -1fg = -6 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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