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Simplifying (7a2x2) + (7a2x) + (7a2) = 0 Reorder the terms: (7a2) + (7a2x) + (7a2x2) = 0 Solving (7a2) + (7a2x) + (7a2x2) = 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), '7a2'. 7a2(1 + x + x2) = 0 Ignore the factor 7.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 '(1 + x + x2)' equal to zero and attempt to solve: Simplifying 1 + x + x2 = 0 Solving 1 + x + x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + x2 = 0 + -1 x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x + x2 = -1 Add '-1x' to each side of the equation. x + -1x + x2 = -1 + -1x Combine like terms: x + -1x = 0 0 + x2 = -1 + -1x x2 = -1 + -1x Add '-1x2' to each side of the equation. x2 + -1x2 = -1 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -1 + -1x + -1x2 Simplifying 0 = -1 + -1x + -1x2 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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