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Simplifying x2 + 3bx + -10b2 = 0 Reorder the terms: 3bx + -10b2 + x2 = 0 Solving 3bx + -10b2 + x2 = 0 Solving for variable 'b'. Factor a trinomial. (-5b + -1x)(2b + -1x) = 0Subproblem 1
Set the factor '(-5b + -1x)' equal to zero and attempt to solve: Simplifying -5b + -1x = 0 Solving -5b + -1x = 0 Move all terms containing b to the left, all other terms to the right. Add 'x' to each side of the equation. -5b + -1x + x = 0 + x Combine like terms: -1x + x = 0 -5b + 0 = 0 + x -5b = 0 + x Remove the zero: -5b = x Divide each side by '-5'. b = -0.2x Simplifying b = -0.2xSubproblem 2
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 = 0.5xSolution
b = {-0.2x, 0.5x}
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