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Simplifying 25b2 + 70bg + 49g2 = 0 Reorder the terms: 70bg + 25b2 + 49g2 = 0 Solving 70bg + 25b2 + 49g2 = 0 Solving for variable 'b'. Factor a trinomial. (5b + 7g)(5b + 7g) = 0Subproblem 1
Set the factor '(5b + 7g)' equal to zero and attempt to solve: Simplifying 5b + 7g = 0 Solving 5b + 7g = 0 Move all terms containing b to the left, all other terms to the right. Add '-7g' to each side of the equation. 5b + 7g + -7g = 0 + -7g Combine like terms: 7g + -7g = 0 5b + 0 = 0 + -7g 5b = 0 + -7g Remove the zero: 5b = -7g Divide each side by '5'. b = -1.4g Simplifying b = -1.4gSubproblem 2
Set the factor '(5b + 7g)' equal to zero and attempt to solve: Simplifying 5b + 7g = 0 Solving 5b + 7g = 0 Move all terms containing b to the left, all other terms to the right. Add '-7g' to each side of the equation. 5b + 7g + -7g = 0 + -7g Combine like terms: 7g + -7g = 0 5b + 0 = 0 + -7g 5b = 0 + -7g Remove the zero: 5b = -7g Divide each side by '5'. b = -1.4g Simplifying b = -1.4gSolution
b = {-1.4g, -1.4g}
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