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Simplifying (7a3 + -5a) + -1(4a3 + 4a) = 0 Reorder the terms: (-5a + 7a3) + -1(4a3 + 4a) = 0 Remove parenthesis around (-5a + 7a3) -5a + 7a3 + -1(4a3 + 4a) = 0 Reorder the terms: -5a + 7a3 + -1(4a + 4a3) = 0 -5a + 7a3 + (4a * -1 + 4a3 * -1) = 0 -5a + 7a3 + (-4a + -4a3) = 0 Reorder the terms: -5a + -4a + 7a3 + -4a3 = 0 Combine like terms: -5a + -4a = -9a -9a + 7a3 + -4a3 = 0 Combine like terms: 7a3 + -4a3 = 3a3 -9a + 3a3 = 0 Solving -9a + 3a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-3 + a2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-3 + a2)' equal to zero and attempt to solve: Simplifying -3 + a2 = 0 Solving -3 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + a2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + a2 = 0 + 3 a2 = 0 + 3 Combine like terms: 0 + 3 = 3 a2 = 3 Simplifying a2 = 3 Take the square root of each side: a = {-1.732050808, 1.732050808}Solution
a = {0, -1.732050808, 1.732050808}
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