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Simplifying 5a2 + -3ab + 8a = 0 Reorder the terms: 8a + -3ab + 5a2 = 0 Solving 8a + -3ab + 5a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(8 + -3b + 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 '(8 + -3b + 5a)' equal to zero and attempt to solve: Simplifying 8 + -3b + 5a = 0 Reorder the terms: 8 + 5a + -3b = 0 Solving 8 + 5a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5a + -8 + -3b = 0 + -8 Reorder the terms: 8 + -8 + 5a + -3b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5a + -3b = 0 + -8 5a + -3b = 0 + -8 Combine like terms: 0 + -8 = -8 5a + -3b = -8 Add '3b' to each side of the equation. 5a + -3b + 3b = -8 + 3b Combine like terms: -3b + 3b = 0 5a + 0 = -8 + 3b 5a = -8 + 3b Divide each side by '5'. a = -1.6 + 0.6b Simplifying a = -1.6 + 0.6bSolution
a = {0, -1.6 + 0.6b}
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