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Simplifying 25g2 + 60gh + 36h2 = 0 Reorder the terms: 60gh + 25g2 + 36h2 = 0 Solving 60gh + 25g2 + 36h2 = 0 Solving for variable 'g'. Factor a trinomial. (5g + 6h)(5g + 6h) = 0Subproblem 1
Set the factor '(5g + 6h)' equal to zero and attempt to solve: Simplifying 5g + 6h = 0 Solving 5g + 6h = 0 Move all terms containing g to the left, all other terms to the right. Add '-6h' to each side of the equation. 5g + 6h + -6h = 0 + -6h Combine like terms: 6h + -6h = 0 5g + 0 = 0 + -6h 5g = 0 + -6h Remove the zero: 5g = -6h Divide each side by '5'. g = -1.2h Simplifying g = -1.2hSubproblem 2
Set the factor '(5g + 6h)' equal to zero and attempt to solve: Simplifying 5g + 6h = 0 Solving 5g + 6h = 0 Move all terms containing g to the left, all other terms to the right. Add '-6h' to each side of the equation. 5g + 6h + -6h = 0 + -6h Combine like terms: 6h + -6h = 0 5g + 0 = 0 + -6h 5g = 0 + -6h Remove the zero: 5g = -6h Divide each side by '5'. g = -1.2h Simplifying g = -1.2hSolution
g = {-1.2h, -1.2h}
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