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Simplifying -7a(3a + -4) = 0 Reorder the terms: -7a(-4 + 3a) = 0 (-4 * -7a + 3a * -7a) = 0 (28a + -21a2) = 0 Solving 28a + -21a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7a'. 7a(4 + -3a) = 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 '(4 + -3a)' equal to zero and attempt to solve: Simplifying 4 + -3a = 0 Solving 4 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3a = 0 + -4 -3a = 0 + -4 Combine like terms: 0 + -4 = -4 -3a = -4 Divide each side by '-3'. a = 1.333333333 Simplifying a = 1.333333333Solution
a = {0, 1.333333333}
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