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Simplifying 30a2 + -258a = 5a Reorder the terms: -258a + 30a2 = 5a Solving -258a + 30a2 = 5a Solving for variable 'a'. Reorder the terms: -258a + -5a + 30a2 = 5a + -5a Combine like terms: -258a + -5a = -263a -263a + 30a2 = 5a + -5a Combine like terms: 5a + -5a = 0 -263a + 30a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-263 + 30a) = 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 '(-263 + 30a)' equal to zero and attempt to solve: Simplifying -263 + 30a = 0 Solving -263 + 30a = 0 Move all terms containing a to the left, all other terms to the right. Add '263' to each side of the equation. -263 + 263 + 30a = 0 + 263 Combine like terms: -263 + 263 = 0 0 + 30a = 0 + 263 30a = 0 + 263 Combine like terms: 0 + 263 = 263 30a = 263 Divide each side by '30'. a = 8.766666667 Simplifying a = 8.766666667Solution
a = {0, 8.766666667}
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