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Simplifying 24qx3 + 40qx2 + 32qx = 0 Reorder the terms: 32qx + 40qx2 + 24qx3 = 0 Solving 32qx + 40qx2 + 24qx3 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '8qx'. 8qx(4 + 5x + 3x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'qx' equal to zero and attempt to solve: Simplifying qx = 0 Solving qx = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qx = 0 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 '(4 + 5x + 3x2)' equal to zero and attempt to solve: Simplifying 4 + 5x + 3x2 = 0 Solving 4 + 5x + 3x2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 5x + -4 + 3x2 = 0 + -4 Reorder the terms: 4 + -4 + 5x + 3x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x + 3x2 = 0 + -4 5x + 3x2 = 0 + -4 Combine like terms: 0 + -4 = -4 5x + 3x2 = -4 Add '-5x' to each side of the equation. 5x + -5x + 3x2 = -4 + -5x Combine like terms: 5x + -5x = 0 0 + 3x2 = -4 + -5x 3x2 = -4 + -5x Add '-3x2' to each side of the equation. 3x2 + -3x2 = -4 + -5x + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = -4 + -5x + -3x2 Simplifying 0 = -4 + -5x + -3x2 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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