2g^2+11gh+15h^2=0

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Solution for 2g^2+11gh+15h^2=0 equation:


Simplifying
2g2 + 11gh + 15h2 = 0

Reorder the terms:
11gh + 2g2 + 15h2 = 0

Solving
11gh + 2g2 + 15h2 = 0

Solving for variable 'g'.

Factor a trinomial.
(2g + 5h)(g + 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 '(g + 3h)' equal to zero and attempt to solve: Simplifying g + 3h = 0 Solving g + 3h = 0 Move all terms containing g to the left, all other terms to the right. Add '-3h' to each side of the equation. g + 3h + -3h = 0 + -3h Combine like terms: 3h + -3h = 0 g + 0 = 0 + -3h g = 0 + -3h Remove the zero: g = -3h Simplifying g = -3h

Solution

g = {-2.5h, -3h}

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