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Simplifying a(3a + -4) + 3a(2a + -3) = 0 Reorder the terms: a(-4 + 3a) + 3a(2a + -3) = 0 (-4 * a + 3a * a) + 3a(2a + -3) = 0 (-4a + 3a2) + 3a(2a + -3) = 0 Reorder the terms: -4a + 3a2 + 3a(-3 + 2a) = 0 -4a + 3a2 + (-3 * 3a + 2a * 3a) = 0 -4a + 3a2 + (-9a + 6a2) = 0 Reorder the terms: -4a + -9a + 3a2 + 6a2 = 0 Combine like terms: -4a + -9a = -13a -13a + 3a2 + 6a2 = 0 Combine like terms: 3a2 + 6a2 = 9a2 -13a + 9a2 = 0 Solving -13a + 9a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-13 + 9a) = 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 '(-13 + 9a)' equal to zero and attempt to solve: Simplifying -13 + 9a = 0 Solving -13 + 9a = 0 Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 9a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 9a = 0 + 13 9a = 0 + 13 Combine like terms: 0 + 13 = 13 9a = 13 Divide each side by '9'. a = 1.444444444 Simplifying a = 1.444444444Solution
a = {0, 1.444444444}
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