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Simplifying 7a2 + -6a + 2a2 + -4a = 0 Reorder the terms: -6a + -4a + 7a2 + 2a2 = 0 Combine like terms: -6a + -4a = -10a -10a + 7a2 + 2a2 = 0 Combine like terms: 7a2 + 2a2 = 9a2 -10a + 9a2 = 0 Solving -10a + 9a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-10 + 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 '(-10 + 9a)' equal to zero and attempt to solve: Simplifying -10 + 9a = 0 Solving -10 + 9a = 0 Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 9a = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 9a = 0 + 10 9a = 0 + 10 Combine like terms: 0 + 10 = 10 9a = 10 Divide each side by '9'. a = 1.111111111 Simplifying a = 1.111111111Solution
a = {0, 1.111111111}
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