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Simplifying -5a + -2a(4a + 5) = 7a Reorder the terms: -5a + -2a(5 + 4a) = 7a -5a + (5 * -2a + 4a * -2a) = 7a -5a + (-10a + -8a2) = 7a Combine like terms: -5a + -10a = -15a -15a + -8a2 = 7a Solving -15a + -8a2 = 7a Solving for variable 'a'. Reorder the terms: -15a + -7a + -8a2 = 7a + -7a Combine like terms: -15a + -7a = -22a -22a + -8a2 = 7a + -7a Combine like terms: 7a + -7a = 0 -22a + -8a2 = 0 Factor out the Greatest Common Factor (GCF), '-2a'. -2a(11 + 4a) = 0 Ignore the factor -2.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 '(11 + 4a)' equal to zero and attempt to solve: Simplifying 11 + 4a = 0 Solving 11 + 4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4a = 0 + -11 4a = 0 + -11 Combine like terms: 0 + -11 = -11 4a = -11 Divide each side by '4'. a = -2.75 Simplifying a = -2.75Solution
a = {0, -2.75}
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