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Simplifying 5a2 + -9ab + 4a = 0 Reorder the terms: 4a + -9ab + 5a2 = 0 Solving 4a + -9ab + 5a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(4 + -9b + 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 '(4 + -9b + 5a)' equal to zero and attempt to solve: Simplifying 4 + -9b + 5a = 0 Reorder the terms: 4 + 5a + -9b = 0 Solving 4 + 5a + -9b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 5a + -4 + -9b = 0 + -4 Reorder the terms: 4 + -4 + 5a + -9b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5a + -9b = 0 + -4 5a + -9b = 0 + -4 Combine like terms: 0 + -4 = -4 5a + -9b = -4 Add '9b' to each side of the equation. 5a + -9b + 9b = -4 + 9b Combine like terms: -9b + 9b = 0 5a + 0 = -4 + 9b 5a = -4 + 9b Divide each side by '5'. a = -0.8 + 1.8b Simplifying a = -0.8 + 1.8bSolution
a = {0, -0.8 + 1.8b}
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