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Simplifying 4a3 + -64a2 + -900a = 0 Reorder the terms: -900a + -64a2 + 4a3 = 0 Solving -900a + -64a2 + 4a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(-225 + -16a + a2) = 0 Factor a trinomial. 4a((-9 + -1a)(25 + -1a)) = 0 Ignore the factor 4.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 '(-9 + -1a)' equal to zero and attempt to solve: Simplifying -9 + -1a = 0 Solving -9 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1a = 0 + 9 -1a = 0 + 9 Combine like terms: 0 + 9 = 9 -1a = 9 Divide each side by '-1'. a = -9 Simplifying a = -9Subproblem 3
Set the factor '(25 + -1a)' equal to zero and attempt to solve: Simplifying 25 + -1a = 0 Solving 25 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1a = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1a = 0 + -25 -1a = 0 + -25 Combine like terms: 0 + -25 = -25 -1a = -25 Divide each side by '-1'. a = 25 Simplifying a = 25Solution
a = {0, -9, 25}
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