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Simplifying 4a(5a2 + -4) + 9a = 0 Reorder the terms: 4a(-4 + 5a2) + 9a = 0 (-4 * 4a + 5a2 * 4a) + 9a = 0 (-16a + 20a3) + 9a = 0 Reorder the terms: -16a + 9a + 20a3 = 0 Combine like terms: -16a + 9a = -7a -7a + 20a3 = 0 Solving -7a + 20a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-7 + 20a2) = 0Subproblem 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 '(-7 + 20a2)' equal to zero and attempt to solve: Simplifying -7 + 20a2 = 0 Solving -7 + 20a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 20a2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 20a2 = 0 + 7 20a2 = 0 + 7 Combine like terms: 0 + 7 = 7 20a2 = 7 Divide each side by '20'. a2 = 0.35 Simplifying a2 = 0.35 Take the square root of each side: a = {-0.591607978, 0.591607978}Solution
a = {0, -0.591607978, 0.591607978}
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