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Simplifying x2 + -5bx + 6b2 = 0 Reorder the terms: -5bx + 6b2 + x2 = 0 Solving -5bx + 6b2 + x2 = 0 Solving for variable 'b'. Factor a trinomial. (2b + -1x)(3b + -1x) = 0Subproblem 1
Set the factor '(2b + -1x)' equal to zero and attempt to solve: Simplifying 2b + -1x = 0 Solving 2b + -1x = 0 Move all terms containing b to the left, all other terms to the right. Add 'x' to each side of the equation. 2b + -1x + x = 0 + x Combine like terms: -1x + x = 0 2b + 0 = 0 + x 2b = 0 + x Remove the zero: 2b = x Divide each side by '2'. b = 0.5x Simplifying b = 0.5xSubproblem 2
Set the factor '(3b + -1x)' equal to zero and attempt to solve: Simplifying 3b + -1x = 0 Solving 3b + -1x = 0 Move all terms containing b to the left, all other terms to the right. Add 'x' to each side of the equation. 3b + -1x + x = 0 + x Combine like terms: -1x + x = 0 3b + 0 = 0 + x 3b = 0 + x Remove the zero: 3b = x Divide each side by '3'. b = 0.3333333333x Simplifying b = 0.3333333333xSolution
b = {0.5x, 0.3333333333x}
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