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Simplifying 450a2 + 242c2 + 660ac = 0 Reorder the terms: 660ac + 450a2 + 242c2 = 0 Solving 660ac + 450a2 + 242c2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(330ac + 225a2 + 121c2) = 0 Factor a trinomial. 2((15a + 11c)(15a + 11c)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15a + 11c)' equal to zero and attempt to solve: Simplifying 15a + 11c = 0 Solving 15a + 11c = 0 Move all terms containing a to the left, all other terms to the right. Add '-11c' to each side of the equation. 15a + 11c + -11c = 0 + -11c Combine like terms: 11c + -11c = 0 15a + 0 = 0 + -11c 15a = 0 + -11c Remove the zero: 15a = -11c Divide each side by '15'. a = -0.7333333333c Simplifying a = -0.7333333333cSubproblem 2
Set the factor '(15a + 11c)' equal to zero and attempt to solve: Simplifying 15a + 11c = 0 Solving 15a + 11c = 0 Move all terms containing a to the left, all other terms to the right. Add '-11c' to each side of the equation. 15a + 11c + -11c = 0 + -11c Combine like terms: 11c + -11c = 0 15a + 0 = 0 + -11c 15a = 0 + -11c Remove the zero: 15a = -11c Divide each side by '15'. a = -0.7333333333c Simplifying a = -0.7333333333cSolution
a = {-0.7333333333c, -0.7333333333c}
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