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Simplifying (7x3a) + (7xa2) = 0 Solving (7ax3) + (7a2x) = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7ax'. 7ax(x2 + a) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'ax' equal to zero and attempt to solve: Simplifying ax = 0 Solving ax = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ax = 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 '(x2 + a)' equal to zero and attempt to solve: Simplifying x2 + a = 0 Reorder the terms: a + x2 = 0 Solving a + x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x2' to each side of the equation. a + x2 + -1x2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 a + 0 = 0 + -1x2 a = 0 + -1x2 Remove the zero: a = -1x2 Simplifying a = -1x2Solution
a = {-1x2}
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