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Simplifying 3a(a + -4) + -2a = 0 Reorder the terms: 3a(-4 + a) + -2a = 0 (-4 * 3a + a * 3a) + -2a = 0 (-12a + 3a2) + -2a = 0 Reorder the terms: -12a + -2a + 3a2 = 0 Combine like terms: -12a + -2a = -14a -14a + 3a2 = 0 Solving -14a + 3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-14 + 3a) = 0Subproblem 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 '(-14 + 3a)' equal to zero and attempt to solve: Simplifying -14 + 3a = 0 Solving -14 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3a = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3a = 0 + 14 3a = 0 + 14 Combine like terms: 0 + 14 = 14 3a = 14 Divide each side by '3'. a = 4.666666667 Simplifying a = 4.666666667Solution
a = {0, 4.666666667}
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