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Simplifying
(10g + -9h)(10g + 9h) = 0
Multiply (10g + -9h) * (10g + 9h)
(10g * (10g + 9h) + -9h * (10g + 9h)) = 0
((10g * 10g + 9h * 10g) + -9h * (10g + 9h)) = 0
Reorder the terms:
((90gh + 100g2) + -9h * (10g + 9h)) = 0
((90gh + 100g2) + -9h * (10g + 9h)) = 0
(90gh + 100g2 + (10g * -9h + 9h * -9h)) = 0
(90gh + 100g2 + (-90gh + -81h2)) = 0
Reorder the terms:
(90gh + -90gh + 100g2 + -81h2) = 0
Combine like terms: 90gh + -90gh = 0
(0 + 100g2 + -81h2) = 0
(100g2 + -81h2) = 0
Solving
100g2 + -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.
100g2 + -81h2 + 81h2 = 0 + 81h2
Combine like terms: -81h2 + 81h2 = 0
100g2 + 0 = 0 + 81h2
100g2 = 0 + 81h2
Remove the zero:
100g2 = 81h2
Divide each side by '100'.
g2 = 0.81h2
Simplifying
g2 = 0.81h2
Take the square root of each side:
g = {-0.9h, 0.9h}
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