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Simplifying -3a2 + -2ab + 5b2 = 0 Reorder the terms: -2ab + -3a2 + 5b2 = 0 Solving -2ab + -3a2 + 5b2 = 0 Solving for variable 'a'. Factor a trinomial. (-3a + -5b)(a + -1b) = 0Subproblem 1
Set the factor '(-3a + -5b)' equal to zero and attempt to solve: Simplifying -3a + -5b = 0 Solving -3a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. -3a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 -3a + 0 = 0 + 5b -3a = 0 + 5b Remove the zero: -3a = 5b Divide each side by '-3'. a = -1.666666667b Simplifying a = -1.666666667bSubproblem 2
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 = bSolution
a = {-1.666666667b, b}
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