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Simplifying 2a(a + -3) + a(3a + -1) = 0 Reorder the terms: 2a(-3 + a) + a(3a + -1) = 0 (-3 * 2a + a * 2a) + a(3a + -1) = 0 (-6a + 2a2) + a(3a + -1) = 0 Reorder the terms: -6a + 2a2 + a(-1 + 3a) = 0 -6a + 2a2 + (-1 * a + 3a * a) = 0 -6a + 2a2 + (-1a + 3a2) = 0 Reorder the terms: -6a + -1a + 2a2 + 3a2 = 0 Combine like terms: -6a + -1a = -7a -7a + 2a2 + 3a2 = 0 Combine like terms: 2a2 + 3a2 = 5a2 -7a + 5a2 = 0 Solving -7a + 5a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-7 + 5a) = 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 '(-7 + 5a)' equal to zero and attempt to solve: Simplifying -7 + 5a = 0 Solving -7 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5a = 0 + 7 5a = 0 + 7 Combine like terms: 0 + 7 = 7 5a = 7 Divide each side by '5'. a = 1.4 Simplifying a = 1.4Solution
a = {0, 1.4}
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