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Simplifying 7a + -4a * a + -13a + 9a * a = 0 Multiply a * a 7a + -4a2 + -13a + 9a * a = 0 Multiply a * a 7a + -4a2 + -13a + 9a2 = 0 Reorder the terms: 7a + -13a + -4a2 + 9a2 = 0 Combine like terms: 7a + -13a = -6a -6a + -4a2 + 9a2 = 0 Combine like terms: -4a2 + 9a2 = 5a2 -6a + 5a2 = 0 Solving -6a + 5a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-6 + 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 '(-6 + 5a)' equal to zero and attempt to solve: Simplifying -6 + 5a = 0 Solving -6 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5a = 0 + 6 5a = 0 + 6 Combine like terms: 0 + 6 = 6 5a = 6 Divide each side by '5'. a = 1.2 Simplifying a = 1.2Solution
a = {0, 1.2}
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