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