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Simplifying 5a2 + -1a(2b + -30) = 0 Reorder the terms: 5a2 + -1a(-30 + 2b) = 0 5a2 + (-30 * -1a + 2b * -1a) = 0 5a2 + (30a + -2ab) = 0 Reorder the terms: 30a + -2ab + 5a2 = 0 Solving 30a + -2ab + 5a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(30 + -2b + 5a) = 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 '(30 + -2b + 5a)' equal to zero and attempt to solve: Simplifying 30 + -2b + 5a = 0 Reorder the terms: 30 + 5a + -2b = 0 Solving 30 + 5a + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 5a + -30 + -2b = 0 + -30 Reorder the terms: 30 + -30 + 5a + -2b = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5a + -2b = 0 + -30 5a + -2b = 0 + -30 Combine like terms: 0 + -30 = -30 5a + -2b = -30 Add '2b' to each side of the equation. 5a + -2b + 2b = -30 + 2b Combine like terms: -2b + 2b = 0 5a + 0 = -30 + 2b 5a = -30 + 2b Divide each side by '5'. a = -6 + 0.4b Simplifying a = -6 + 0.4bSolution
a = {0, -6 + 0.4b}
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