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Simplifying 16g2 + 24gh + 9h2 = 0 Reorder the terms: 24gh + 16g2 + 9h2 = 0 Solving 24gh + 16g2 + 9h2 = 0 Solving for variable 'g'. Factor a trinomial. (4g + 3h)(4g + 3h) = 0Subproblem 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 = -0.75hSubproblem 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 = -0.75hSolution
g = {-0.75h, -0.75h}
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