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Simplifying 3a(5a + -7) = 0 Reorder the terms: 3a(-7 + 5a) = 0 (-7 * 3a + 5a * 3a) = 0 (-21a + 15a2) = 0 Solving -21a + 15a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-7 + 5a) = 0 Ignore the factor 3.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 '(-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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