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Simplifying a2 + -4ab + -5ab + 20b2 = 0 Reorder the terms: -4ab + -5ab + a2 + 20b2 = 0 Combine like terms: -4ab + -5ab = -9ab -9ab + a2 + 20b2 = 0 Solving -9ab + a2 + 20b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -5b)(a + -4b) = 0Subproblem 1
Set the factor '(a + -5b)' equal to zero and attempt to solve: Simplifying a + -5b = 0 Solving a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 a + 0 = 0 + 5b a = 0 + 5b Remove the zero: a = 5b Simplifying a = 5bSubproblem 2
Set the factor '(a + -4b)' equal to zero and attempt to solve: Simplifying a + -4b = 0 Solving a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 a + 0 = 0 + 4b a = 0 + 4b Remove the zero: a = 4b Simplifying a = 4bSolution
a = {5b, 4b}
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