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Simplifying -25a(9a + -5a + 3) = 0 Reorder the terms: -25a(3 + 9a + -5a) = 0 Combine like terms: 9a + -5a = 4a -25a(3 + 4a) = 0 (3 * -25a + 4a * -25a) = 0 (-75a + -100a2) = 0 Solving -75a + -100a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-25a'. -25a(3 + 4a) = 0 Ignore the factor -25.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 '(3 + 4a)' equal to zero and attempt to solve: Simplifying 3 + 4a = 0 Solving 3 + 4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4a = 0 + -3 4a = 0 + -3 Combine like terms: 0 + -3 = -3 4a = -3 Divide each side by '4'. a = -0.75 Simplifying a = -0.75Solution
a = {0, -0.75}
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