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Simplifying 8a2 + 40ab + 50b2 = 0 Reorder the terms: 40ab + 8a2 + 50b2 = 0 Solving 40ab + 8a2 + 50b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(20ab + 4a2 + 25b2) = 0 Factor a trinomial. 2((2a + 5b)(2a + 5b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2a + 5b)' equal to zero and attempt to solve: Simplifying 2a + 5b = 0 Solving 2a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 2a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 2a + 0 = 0 + -5b 2a = 0 + -5b Remove the zero: 2a = -5b Divide each side by '2'. a = -2.5b Simplifying a = -2.5bSubproblem 2
Set the factor '(2a + 5b)' equal to zero and attempt to solve: Simplifying 2a + 5b = 0 Solving 2a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 2a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 2a + 0 = 0 + -5b 2a = 0 + -5b Remove the zero: 2a = -5b Divide each side by '2'. a = -2.5b Simplifying a = -2.5bSolution
a = {-2.5b, -2.5b}
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