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Simplifying 4a2 + -33a2 + 35a = 0 Reorder the terms: 35a + 4a2 + -33a2 = 0 Combine like terms: 4a2 + -33a2 = -29a2 35a + -29a2 = 0 Solving 35a + -29a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(35 + -29a) = 0Subproblem 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 '(35 + -29a)' equal to zero and attempt to solve: Simplifying 35 + -29a = 0 Solving 35 + -29a = 0 Move all terms containing a to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -29a = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -29a = 0 + -35 -29a = 0 + -35 Combine like terms: 0 + -35 = -35 -29a = -35 Divide each side by '-29'. a = 1.206896552 Simplifying a = 1.206896552Solution
a = {0, 1.206896552}
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