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Simplifying -7a(2a + 7) = 0 Reorder the terms: -7a(7 + 2a) = 0 (7 * -7a + 2a * -7a) = 0 (-49a + -14a2) = 0 Solving -49a + -14a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-7a'. -7a(7 + 2a) = 0 Ignore the factor -7.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 + 2a)' equal to zero and attempt to solve: Simplifying 7 + 2a = 0 Solving 7 + 2a = 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 + 2a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = 0 + -7 2a = 0 + -7 Combine like terms: 0 + -7 = -7 2a = -7 Divide each side by '2'. a = -3.5 Simplifying a = -3.5Solution
a = {0, -3.5}
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