(4g+3h)(2g-5h)=

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Solution for (4g+3h)(2g-5h)= equation: 


Simplifying
(4g + 3h)(2g + -5h) = 0

Multiply (4g + 3h) * (2g + -5h)
(4g * (2g + -5h) + 3h * (2g + -5h)) = 0
((2g * 4g + -5h * 4g) + 3h * (2g + -5h)) = 0

Reorder the terms:
((-20gh + 8g2) + 3h * (2g + -5h)) = 0
((-20gh + 8g2) + 3h * (2g + -5h)) = 0
(-20gh + 8g2 + (2g * 3h + -5h * 3h)) = 0
(-20gh + 8g2 + (6gh + -15h2)) = 0

Reorder the terms:
(-20gh + 6gh + 8g2 + -15h2) = 0

Combine like terms: -20gh + 6gh = -14gh
(-14gh + 8g2 + -15h2) = 0

Solving
-14gh + 8g2 + -15h2 = 0

Solving for variable 'g'.

Factor a trinomial.
(2g + -5h)(4g + 3h) = 0


Subproblem 1
Set the factor '(2g + -5h)' equal to zero and attempt to solve:

Simplifying
2g + -5h = 0

Solving
2g + -5h = 0

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

Add '5h' to each side of the equation.
2g + -5h + 5h = 0 + 5h

Combine like terms: -5h + 5h = 0
2g + 0 = 0 + 5h
2g = 0 + 5h
Remove the zero:
2g = 5h

Divide each side by '2'.
g = 2.5h

Simplifying
g = 2.5h

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 = {2.5h, -0.75h}

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