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Simplifying (b + -1xs)(3b + 2xs) = 0 Multiply (b + -1sx) * (3b + 2sx) (b(3b + 2sx) + -1sx * (3b + 2sx)) = 0 ((3b * b + 2sx * b) + -1sx * (3b + 2sx)) = 0 Reorder the terms: ((2bsx + 3b2) + -1sx * (3b + 2sx)) = 0 ((2bsx + 3b2) + -1sx * (3b + 2sx)) = 0 (2bsx + 3b2 + (3b * -1sx + 2sx * -1sx)) = 0 (2bsx + 3b2 + (-3bsx + -2s2x2)) = 0 Reorder the terms: (2bsx + -3bsx + 3b2 + -2s2x2) = 0 Combine like terms: 2bsx + -3bsx = -1bsx (-1bsx + 3b2 + -2s2x2) = 0 Solving -1bsx + 3b2 + -2s2x2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -1sx)(3b + 2sx) = 0Subproblem 1
Set the factor '(b + -1sx)' equal to zero and attempt to solve: Simplifying b + -1sx = 0 Solving b + -1sx = 0 Move all terms containing b to the left, all other terms to the right. Add 'sx' to each side of the equation. b + -1sx + sx = 0 + sx Combine like terms: -1sx + sx = 0 b + 0 = 0 + sx b = 0 + sx Remove the zero: b = sx Simplifying b = sxSubproblem 2
Set the factor '(3b + 2sx)' equal to zero and attempt to solve: Simplifying 3b + 2sx = 0 Solving 3b + 2sx = 0 Move all terms containing b to the left, all other terms to the right. Add '-2sx' to each side of the equation. 3b + 2sx + -2sx = 0 + -2sx Combine like terms: 2sx + -2sx = 0 3b + 0 = 0 + -2sx 3b = 0 + -2sx Remove the zero: 3b = -2sx Divide each side by '3'. b = -0.6666666667sx Simplifying b = -0.6666666667sxSolution
b = {sx, -0.6666666667sx}
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