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Simplifying 28a3 + -256a2 + -240a = 0 Reorder the terms: -240a + -256a2 + 28a3 = 0 Solving -240a + -256a2 + 28a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(-60 + -64a + 7a2) = 0 Factor a trinomial. 4a((-6 + -7a)(10 + -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 '(-6 + -7a)' equal to zero and attempt to solve: Simplifying -6 + -7a = 0 Solving -6 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7a = 0 + 6 -7a = 0 + 6 Combine like terms: 0 + 6 = 6 -7a = 6 Divide each side by '-7'. a = -0.8571428571 Simplifying a = -0.8571428571Subproblem 3
Set the factor '(10 + -1a)' equal to zero and attempt to solve: Simplifying 10 + -1a = 0 Solving 10 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1a = 0 + -10 -1a = 0 + -10 Combine like terms: 0 + -10 = -10 -1a = -10 Divide each side by '-1'. a = 10 Simplifying a = 10Solution
a = {0, -0.8571428571, 10}
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