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Simplifying 4a2x2 + 6a2x + 10a2 = 0 Reorder the terms: 10a2 + 6a2x + 4a2x2 = 0 Solving 10a2 + 6a2x + 4a2x2 = 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), '2a2'. 2a2(5 + 3x + 2x2) = 0 Ignore the factor 2.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 '(5 + 3x + 2x2)' equal to zero and attempt to solve: Simplifying 5 + 3x + 2x2 = 0 Solving 5 + 3x + 2x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3x + -5 + 2x2 = 0 + -5 Reorder the terms: 5 + -5 + 3x + 2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x + 2x2 = 0 + -5 3x + 2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 3x + 2x2 = -5 Add '-3x' to each side of the equation. 3x + -3x + 2x2 = -5 + -3x Combine like terms: 3x + -3x = 0 0 + 2x2 = -5 + -3x 2x2 = -5 + -3x Add '-2x2' to each side of the equation. 2x2 + -2x2 = -5 + -3x + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = -5 + -3x + -2x2 Simplifying 0 = -5 + -3x + -2x2 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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