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Simplifying 7a2 + -5a + -5 = -5 Reorder the terms: -5 + -5a + 7a2 = -5 Add '5' to each side of the equation. -5 + -5a + 5 + 7a2 = -5 + 5 Reorder the terms: -5 + 5 + -5a + 7a2 = -5 + 5 Combine like terms: -5 + 5 = 0 0 + -5a + 7a2 = -5 + 5 -5a + 7a2 = -5 + 5 Combine like terms: -5 + 5 = 0 -5a + 7a2 = 0 Solving -5a + 7a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-5 + 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 '(-5 + 7a)' equal to zero and attempt to solve: Simplifying -5 + 7a = 0 Solving -5 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7a = 0 + 5 7a = 0 + 5 Combine like terms: 0 + 5 = 5 7a = 5 Divide each side by '7'. a = 0.7142857143 Simplifying a = 0.7142857143Solution
a = {0, 0.7142857143}
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