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Simplifying 7a * a + -6a + 2a * a + 5a = 0 Multiply a * a 7a2 + -6a + 2a * a + 5a = 0 Multiply a * a 7a2 + -6a + 2a2 + 5a = 0 Reorder the terms: -6a + 5a + 7a2 + 2a2 = 0 Combine like terms: -6a + 5a = -1a -1a + 7a2 + 2a2 = 0 Combine like terms: 7a2 + 2a2 = 9a2 -1a + 9a2 = 0 Solving -1a + 9a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-1 + 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 '(-1 + 9a)' equal to zero and attempt to solve: Simplifying -1 + 9a = 0 Solving -1 + 9a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 9a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9a = 0 + 1 9a = 0 + 1 Combine like terms: 0 + 1 = 1 9a = 1 Divide each side by '9'. a = 0.1111111111 Simplifying a = 0.1111111111Solution
a = {0, 0.1111111111}
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