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Simplifying 2x2b + 13xb + 20x = 0 Reorder the terms: 13bx + 2bx2 + 20x = 0 Solving 13bx + 2bx2 + 20x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20x' to each side of the equation. 13bx + 2bx2 + 20x + -20x = 0 + -20x Combine like terms: 20x + -20x = 0 13bx + 2bx2 + 0 = 0 + -20x 13bx + 2bx2 = 0 + -20x Remove the zero: 13bx + 2bx2 = -20x Combine like terms: -20x + 20x = 0 13bx + 2bx2 + 20x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(13b + 2bx + 20) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(13b + 2bx + 20)' equal to zero and attempt to solve: Simplifying 13b + 2bx + 20 = 0 Reorder the terms: 20 + 13b + 2bx = 0 Solving 20 + 13b + 2bx = 0 Move all terms containing b to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 13b + -20 + 2bx = 0 + -20 Reorder the terms: 20 + -20 + 13b + 2bx = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 13b + 2bx = 0 + -20 13b + 2bx = 0 + -20 Combine like terms: 0 + -20 = -20 13b + 2bx = -20 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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