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Simplifying 2a2 + -1a + 5a2 = 0 Reorder the terms: -1a + 2a2 + 5a2 = 0 Combine like terms: 2a2 + 5a2 = 7a2 -1a + 7a2 = 0 Solving -1a + 7a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-1 + 7a) = 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 + 7a)' equal to zero and attempt to solve: Simplifying -1 + 7a = 0 Solving -1 + 7a = 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 + 7a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7a = 0 + 1 7a = 0 + 1 Combine like terms: 0 + 1 = 1 7a = 1 Divide each side by '7'. a = 0.1428571429 Simplifying a = 0.1428571429Solution
a = {0, 0.1428571429}
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