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Simplifying 10a2 + -18ab + 8b2 = 0 Reorder the terms: -18ab + 10a2 + 8b2 = 0 Solving -18ab + 10a2 + 8b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-9ab + 5a2 + 4b2) = 0 Factor a trinomial. 2((a + -1b)(5a + -4b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(a + -1b)' equal to zero and attempt to solve: Simplifying a + -1b = 0 Solving a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a + -1b + b = 0 + b Combine like terms: -1b + b = 0 a + 0 = 0 + b a = 0 + b Remove the zero: a = b Simplifying a = bSubproblem 2
Set the factor '(5a + -4b)' equal to zero and attempt to solve: Simplifying 5a + -4b = 0 Solving 5a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 5a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 5a + 0 = 0 + 4b 5a = 0 + 4b Remove the zero: 5a = 4b Divide each side by '5'. a = 0.8b Simplifying a = 0.8bSolution
a = {b, 0.8b}
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