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Simplifying 15a2 = 35a Solving 15a2 = 35a Solving for variable 'a'. Reorder the terms: -35a + 15a2 = 35a + -35a Combine like terms: 35a + -35a = 0 -35a + 15a2 = 0 Factor out the Greatest Common Factor (GCF), '5a'. 5a(-7 + 3a) = 0 Ignore the factor 5.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 '(-7 + 3a)' equal to zero and attempt to solve: Simplifying -7 + 3a = 0 Solving -7 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3a = 0 + 7 3a = 0 + 7 Combine like terms: 0 + 7 = 7 3a = 7 Divide each side by '3'. a = 2.333333333 Simplifying a = 2.333333333Solution
a = {0, 2.333333333}
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