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Simplifying 35a4 + 51a3 + -8a2 = 0 Reorder the terms: -8a2 + 51a3 + 35a4 = 0 Solving -8a2 + 51a3 + 35a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2'. a2(-8 + 51a + 35a2) = 0 Factor a trinomial. a2((-8 + -5a)(1 + -7a)) = 0Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(-8 + -5a)' equal to zero and attempt to solve: Simplifying -8 + -5a = 0 Solving -8 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5a = 0 + 8 -5a = 0 + 8 Combine like terms: 0 + 8 = 8 -5a = 8 Divide each side by '-5'. a = -1.6 Simplifying a = -1.6Subproblem 3
Set the factor '(1 + -7a)' equal to zero and attempt to solve: Simplifying 1 + -7a = 0 Solving 1 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7a = 0 + -1 -7a = 0 + -1 Combine like terms: 0 + -1 = -1 -7a = -1 Divide each side by '-7'. a = 0.1428571429 Simplifying a = 0.1428571429Solution
a = {0, -1.6, 0.1428571429}
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