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Simplifying 9a2 + 21ac + 10c2 = 0 Reorder the terms: 21ac + 9a2 + 10c2 = 0 Solving 21ac + 9a2 + 10c2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + 2c)(3a + 5c) = 0Subproblem 1
Set the factor '(3a + 2c)' equal to zero and attempt to solve: Simplifying 3a + 2c = 0 Solving 3a + 2c = 0 Move all terms containing a to the left, all other terms to the right. Add '-2c' to each side of the equation. 3a + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 3a + 0 = 0 + -2c 3a = 0 + -2c Remove the zero: 3a = -2c Divide each side by '3'. a = -0.6666666667c Simplifying a = -0.6666666667cSubproblem 2
Set the factor '(3a + 5c)' equal to zero and attempt to solve: Simplifying 3a + 5c = 0 Solving 3a + 5c = 0 Move all terms containing a to the left, all other terms to the right. Add '-5c' to each side of the equation. 3a + 5c + -5c = 0 + -5c Combine like terms: 5c + -5c = 0 3a + 0 = 0 + -5c 3a = 0 + -5c Remove the zero: 3a = -5c Divide each side by '3'. a = -1.666666667c Simplifying a = -1.666666667cSolution
a = {-0.6666666667c, -1.666666667c}
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