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Simplifying (10a + 14) * 15a = 0 Reorder the terms: (14 + 10a) * 15a = 0 Reorder the terms for easier multiplication: 15a(14 + 10a) = 0 (14 * 15a + 10a * 15a) = 0 (210a + 150a2) = 0 Solving 210a + 150a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '30a'. 30a(7 + 5a) = 0 Ignore the factor 30.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 + 5a)' equal to zero and attempt to solve: Simplifying 7 + 5a = 0 Solving 7 + 5a = 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 + 5a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5a = 0 + -7 5a = 0 + -7 Combine like terms: 0 + -7 = -7 5a = -7 Divide each side by '5'. a = -1.4 Simplifying a = -1.4Solution
a = {0, -1.4}
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