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Simplifying 20b2 + -13bx + -15x2 = 0 Reorder the terms: -13bx + 20b2 + -15x2 = 0 Solving -13bx + 20b2 + -15x2 = 0 Solving for variable 'b'. Factor a trinomial. (4b + -5x)(5b + 3x) = 0Subproblem 1
Set the factor '(4b + -5x)' equal to zero and attempt to solve: Simplifying 4b + -5x = 0 Solving 4b + -5x = 0 Move all terms containing b to the left, all other terms to the right. Add '5x' to each side of the equation. 4b + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 4b + 0 = 0 + 5x 4b = 0 + 5x Remove the zero: 4b = 5x Divide each side by '4'. b = 1.25x Simplifying b = 1.25xSubproblem 2
Set the factor '(5b + 3x)' equal to zero and attempt to solve: Simplifying 5b + 3x = 0 Solving 5b + 3x = 0 Move all terms containing b to the left, all other terms to the right. Add '-3x' to each side of the equation. 5b + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 5b + 0 = 0 + -3x 5b = 0 + -3x Remove the zero: 5b = -3x Divide each side by '5'. b = -0.6x Simplifying b = -0.6xSolution
b = {1.25x, -0.6x}
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