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Simplifying 16b2 + 40bg + 25g2 = 0 Reorder the terms: 40bg + 16b2 + 25g2 = 0 Solving 40bg + 16b2 + 25g2 = 0 Solving for variable 'b'. Factor a trinomial. (4b + 5g)(4b + 5g) = 0Subproblem 1
Set the factor '(4b + 5g)' equal to zero and attempt to solve: Simplifying 4b + 5g = 0 Solving 4b + 5g = 0 Move all terms containing b to the left, all other terms to the right. Add '-5g' to each side of the equation. 4b + 5g + -5g = 0 + -5g Combine like terms: 5g + -5g = 0 4b + 0 = 0 + -5g 4b = 0 + -5g Remove the zero: 4b = -5g Divide each side by '4'. b = -1.25g Simplifying b = -1.25gSubproblem 2
Set the factor '(4b + 5g)' equal to zero and attempt to solve: Simplifying 4b + 5g = 0 Solving 4b + 5g = 0 Move all terms containing b to the left, all other terms to the right. Add '-5g' to each side of the equation. 4b + 5g + -5g = 0 + -5g Combine like terms: 5g + -5g = 0 4b + 0 = 0 + -5g 4b = 0 + -5g Remove the zero: 4b = -5g Divide each side by '4'. b = -1.25g Simplifying b = -1.25gSolution
b = {-1.25g, -1.25g}
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