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Simplifying b(1 + -1x) = 2b(-1 + -6b) (1 * b + -1x * b) = 2b(-1 + -6b) (1b + -1bx) = 2b(-1 + -6b) 1b + -1bx = (-1 * 2b + -6b * 2b) 1b + -1bx = (-2b + -12b2) Solving 1b + -1bx = -2b + -12b2 Solving for variable 'b'. Reorder the terms: 1b + 2b + -1bx + 12b2 = -2b + -12b2 + 2b + 12b2 Combine like terms: 1b + 2b = 3b 3b + -1bx + 12b2 = -2b + -12b2 + 2b + 12b2 Reorder the terms: 3b + -1bx + 12b2 = -2b + 2b + -12b2 + 12b2 Combine like terms: -2b + 2b = 0 3b + -1bx + 12b2 = 0 + -12b2 + 12b2 3b + -1bx + 12b2 = -12b2 + 12b2 Combine like terms: -12b2 + 12b2 = 0 3b + -1bx + 12b2 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(3 + -1x + 12b) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(3 + -1x + 12b)' equal to zero and attempt to solve: Simplifying 3 + -1x + 12b = 0 Reorder the terms: 3 + 12b + -1x = 0 Solving 3 + 12b + -1x = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 12b + -3 + -1x = 0 + -3 Reorder the terms: 3 + -3 + 12b + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 12b + -1x = 0 + -3 12b + -1x = 0 + -3 Combine like terms: 0 + -3 = -3 12b + -1x = -3 Add 'x' to each side of the equation. 12b + -1x + x = -3 + x Combine like terms: -1x + x = 0 12b + 0 = -3 + x 12b = -3 + x Divide each side by '12'. b = -0.25 + 0.08333333333x Simplifying b = -0.25 + 0.08333333333xSolution
b = {0, -0.25 + 0.08333333333x}
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