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Simplifying 3bx2 + bx + 4b = 0 Reorder the terms: 4b + bx + 3bx2 = 0 Solving 4b + bx + 3bx2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'b'. b(4 + x + 3x2) = 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 '(4 + x + 3x2)' equal to zero and attempt to solve: Simplifying 4 + x + 3x2 = 0 Solving 4 + x + 3x2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + x + -4 + 3x2 = 0 + -4 Reorder the terms: 4 + -4 + x + 3x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x + 3x2 = 0 + -4 x + 3x2 = 0 + -4 Combine like terms: 0 + -4 = -4 x + 3x2 = -4 Add '-1x' to each side of the equation. x + -1x + 3x2 = -4 + -1x Combine like terms: x + -1x = 0 0 + 3x2 = -4 + -1x 3x2 = -4 + -1x Add '-3x2' to each side of the equation. 3x2 + -3x2 = -4 + -1x + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = -4 + -1x + -3x2 Simplifying 0 = -4 + -1x + -3x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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