(3g+9h)(3g-9h)=

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Solution for (3g+9h)(3g-9h)= equation:


Simplifying
(3g + 9h)(3g + -9h) = 0

Multiply (3g + 9h) * (3g + -9h)
(3g * (3g + -9h) + 9h * (3g + -9h)) = 0
((3g * 3g + -9h * 3g) + 9h * (3g + -9h)) = 0

Reorder the terms:
((-27gh + 9g2) + 9h * (3g + -9h)) = 0
((-27gh + 9g2) + 9h * (3g + -9h)) = 0
(-27gh + 9g2 + (3g * 9h + -9h * 9h)) = 0
(-27gh + 9g2 + (27gh + -81h2)) = 0

Reorder the terms:
(-27gh + 27gh + 9g2 + -81h2) = 0

Combine like terms: -27gh + 27gh = 0
(0 + 9g2 + -81h2) = 0
(9g2 + -81h2) = 0

Solving
9g2 + -81h2 = 0

Solving for variable 'g'.

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

Add '81h2' to each side of the equation.
9g2 + -81h2 + 81h2 = 0 + 81h2

Combine like terms: -81h2 + 81h2 = 0
9g2 + 0 = 0 + 81h2
9g2 = 0 + 81h2
Remove the zero:
9g2 = 81h2

Divide each side by '9'.
g2 = 9h2

Simplifying
g2 = 9h2

Take the square root of each side:
g = {-3h, 3h}

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