G(x)=-3f(x)

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Solution for G(x)=-3f(x) equation:


Simplifying
G(x) = -3f(x)

Multiply G * x
xG = -3f(x)

Multiply f * x
xG = -3fx

Solving
xG = -3fx

Solving for variable 'x'.

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

Add '3fx' to each side of the equation.
3fx + xG = -3fx + 3fx

Combine like terms: -3fx + 3fx = 0
3fx + xG = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(3f + G) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3f + G)' equal to zero and attempt to solve: Simplifying 3f + G = 0 Reorder the terms: G + 3f = 0 Solving G + 3f = 0 Move all terms containing x to the left, all other terms to the right. Add '-1G' to each side of the equation. G + -1G + 3f = 0 + -1G Combine like terms: G + -1G = 0 0 + 3f = 0 + -1G 3f = 0 + -1G Remove the zero: 3f = -1G Add '-3f' to each side of the equation. 3f + -3f = -1G + -3f Combine like terms: 3f + -3f = 0 0 = -1G + -3f Simplifying 0 = -1G + -3f The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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