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Simplifying 7a(4a + -6) = 0 Reorder the terms: 7a(-6 + 4a) = 0 (-6 * 7a + 4a * 7a) = 0 (-42a + 28a2) = 0 Solving -42a + 28a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '14a'. 14a(-3 + 2a) = 0 Ignore the factor 14.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 + 2a)' equal to zero and attempt to solve: Simplifying -3 + 2a = 0 Solving -3 + 2a = 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 + 2a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2a = 0 + 3 2a = 0 + 3 Combine like terms: 0 + 3 = 3 2a = 3 Divide each side by '2'. a = 1.5 Simplifying a = 1.5Solution
a = {0, 1.5}
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