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Simplifying 6m2 + bmx = 2b2x2 Reorder the terms: bmx + 6m2 = 2b2x2 Solving bmx + 6m2 = 2b2x2 Solving for variable 'b'. Reorder the terms: bmx + -2b2x2 + 6m2 = 2b2x2 + -2b2x2 Combine like terms: 2b2x2 + -2b2x2 = 0 bmx + -2b2x2 + 6m2 = 0 Factor a trinomial. (-2bx + -3m)(bx + -2m) = 0Subproblem 1
Set the factor '(-2bx + -3m)' equal to zero and attempt to solve: Simplifying -2bx + -3m = 0 Solving -2bx + -3m = 0 Move all terms containing b to the left, all other terms to the right. Add '3m' to each side of the equation. -2bx + -3m + 3m = 0 + 3m Combine like terms: -3m + 3m = 0 -2bx + 0 = 0 + 3m -2bx = 0 + 3m Remove the zero: -2bx = 3m Divide each side by '-2x'. b = -1.5mx-1 Simplifying b = -1.5mx-1Subproblem 2
Set the factor '(bx + -2m)' equal to zero and attempt to solve: Simplifying bx + -2m = 0 Solving bx + -2m = 0 Move all terms containing b to the left, all other terms to the right. Add '2m' to each side of the equation. bx + -2m + 2m = 0 + 2m Combine like terms: -2m + 2m = 0 bx + 0 = 0 + 2m bx = 0 + 2m Remove the zero: bx = 2m Divide each side by 'x'. b = 2mx-1 Simplifying b = 2mx-1Solution
b = {-1.5mx-1, 2mx-1}
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