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Simplifying 20x2 + 49xb + 30b2 = 0 Reorder the terms: 49bx + 30b2 + 20x2 = 0 Solving 49bx + 30b2 + 20x2 = 0 Solving for variable 'b'. Factor a trinomial. (5b + 4x)(6b + 5x) = 0Subproblem 1
Set the factor '(5b + 4x)' equal to zero and attempt to solve: Simplifying 5b + 4x = 0 Solving 5b + 4x = 0 Move all terms containing b to the left, all other terms to the right. Add '-4x' to each side of the equation. 5b + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 5b + 0 = 0 + -4x 5b = 0 + -4x Remove the zero: 5b = -4x Divide each side by '5'. b = -0.8x Simplifying b = -0.8xSubproblem 2
Set the factor '(6b + 5x)' equal to zero and attempt to solve: Simplifying 6b + 5x = 0 Solving 6b + 5x = 0 Move all terms containing b to the left, all other terms to the right. Add '-5x' to each side of the equation. 6b + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 6b + 0 = 0 + -5x 6b = 0 + -5x Remove the zero: 6b = -5x Divide each side by '6'. b = -0.8333333333x Simplifying b = -0.8333333333xSolution
b = {-0.8x, -0.8333333333x}
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