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Simplifying 4a2 + -45ab + 81b2 = 0 Reorder the terms: -45ab + 4a2 + 81b2 = 0 Solving -45ab + 4a2 + 81b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -9b)(4a + -9b) = 0Subproblem 1
Set the factor '(a + -9b)' equal to zero and attempt to solve: Simplifying a + -9b = 0 Solving a + -9b = 0 Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. a + -9b + 9b = 0 + 9b Combine like terms: -9b + 9b = 0 a + 0 = 0 + 9b a = 0 + 9b Remove the zero: a = 9b Simplifying a = 9bSubproblem 2
Set the factor '(4a + -9b)' equal to zero and attempt to solve: Simplifying 4a + -9b = 0 Solving 4a + -9b = 0 Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 4a + -9b + 9b = 0 + 9b Combine like terms: -9b + 9b = 0 4a + 0 = 0 + 9b 4a = 0 + 9b Remove the zero: 4a = 9b Divide each side by '4'. a = 2.25b Simplifying a = 2.25bSolution
a = {9b, 2.25b}
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