G(x)=-5x^2-50x

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Solution for G(x)=-5x^2-50x equation: 


Simplifying
G(x) = -5x2 + -50x

Multiply G * x
xG = -5x2 + -50x

Reorder the terms:
xG = -50x + -5x2

Solving
xG = -50x + -5x2

Solving for variable 'x'.

Reorder the terms:
50x + xG + 5x2 = -50x + -5x2 + 50x + 5x2

Reorder the terms:
50x + xG + 5x2 = -50x + 50x + -5x2 + 5x2

Combine like terms: -50x + 50x = 0
50x + xG + 5x2 = 0 + -5x2 + 5x2
50x + xG + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
50x + xG + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(50 + G + 5x) = 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 '(50 + G + 5x)' equal to zero and attempt to solve:

Simplifying
50 + G + 5x = 0

Solving
50 + G + 5x = 0

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

Add '-50' to each side of the equation.
50 + G + -50 + 5x = 0 + -50

Reorder the terms:
50 + -50 + G + 5x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + G + 5x = 0 + -50
G + 5x = 0 + -50

Combine like terms: 0 + -50 = -50
G + 5x = -50

Add '-1G' to each side of the equation.
G + -1G + 5x = -50 + -1G

Combine like terms: G + -1G = 0
0 + 5x = -50 + -1G
5x = -50 + -1G

Divide each side by '5'.
x = -10 + -0.2G

Simplifying
x = -10 + -0.2G
Solution
x = {0, -10 + -0.2G}

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