(4g+3h)(4g+3h)=0

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Solution for (4g+3h)(4g+3h)=0 equation: 


Simplifying
(4g + 3h)(4g + 3h) = 0

Multiply (4g + 3h) * (4g + 3h)
(4g * (4g + 3h) + 3h * (4g + 3h)) = 0
((4g * 4g + 3h * 4g) + 3h * (4g + 3h)) = 0

Reorder the terms:
((12gh + 16g2) + 3h * (4g + 3h)) = 0
((12gh + 16g2) + 3h * (4g + 3h)) = 0
(12gh + 16g2 + (4g * 3h + 3h * 3h)) = 0
(12gh + 16g2 + (12gh + 9h2)) = 0

Reorder the terms:
(12gh + 12gh + 16g2 + 9h2) = 0

Combine like terms: 12gh + 12gh = 24gh
(24gh + 16g2 + 9h2) = 0

Solving
24gh + 16g2 + 9h2 = 0

Solving for variable 'g'.

Factor a trinomial.
(4g + 3h)(4g + 3h) = 0


Subproblem 1
Set the factor '(4g + 3h)' equal to zero and attempt to solve:

Simplifying
4g + 3h = 0

Solving
4g + 3h = 0

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

Add '-3h' to each side of the equation.
4g + 3h + -3h = 0 + -3h

Combine like terms: 3h + -3h = 0
4g + 0 = 0 + -3h
4g = 0 + -3h
Remove the zero:
4g = -3h

Divide each side by '4'.
g = -0.75h

Simplifying
g = -0.75h

Subproblem 2
Set the factor '(4g + 3h)' equal to zero and attempt to solve:

Simplifying
4g + 3h = 0

Solving
4g + 3h = 0

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

Add '-3h' to each side of the equation.
4g + 3h + -3h = 0 + -3h

Combine like terms: 3h + -3h = 0
4g + 0 = 0 + -3h
4g = 0 + -3h
Remove the zero:
4g = -3h

Divide each side by '4'.
g = -0.75h

Simplifying
g = -0.75h
Solution
g = {-0.75h, -0.75h}

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