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Simplifying 16a2x2 + 20a2x + 12a2 = 0 Reorder the terms: 12a2 + 20a2x + 16a2x2 = 0 Solving 12a2 + 20a2x + 16a2x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '4a2'. 4a2(3 + 5x + 4x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(3 + 5x + 4x2)' equal to zero and attempt to solve: Simplifying 3 + 5x + 4x2 = 0 Solving 3 + 5x + 4x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 5x + -3 + 4x2 = 0 + -3 Reorder the terms: 3 + -3 + 5x + 4x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x + 4x2 = 0 + -3 5x + 4x2 = 0 + -3 Combine like terms: 0 + -3 = -3 5x + 4x2 = -3 Add '-5x' to each side of the equation. 5x + -5x + 4x2 = -3 + -5x Combine like terms: 5x + -5x = 0 0 + 4x2 = -3 + -5x 4x2 = -3 + -5x Add '-4x2' to each side of the equation. 4x2 + -4x2 = -3 + -5x + -4x2 Combine like terms: 4x2 + -4x2 = 0 0 = -3 + -5x + -4x2 Simplifying 0 = -3 + -5x + -4x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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