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Simplifying -2a2 + -1ab + b2 = 0 Reorder the terms: -1ab + -2a2 + b2 = 0 Solving -1ab + -2a2 + b2 = 0 Solving for variable 'a'. Factor a trinomial. (-1a + -1b)(2a + -1b) = 0Subproblem 1
Set the factor '(-1a + -1b)' equal to zero and attempt to solve: Simplifying -1a + -1b = 0 Solving -1a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. -1a + -1b + b = 0 + b Combine like terms: -1b + b = 0 -1a + 0 = 0 + b -1a = 0 + b Remove the zero: -1a = b Divide each side by '-1'. a = -1b Simplifying a = -1bSubproblem 2
Set the factor '(2a + -1b)' equal to zero and attempt to solve: Simplifying 2a + -1b = 0 Solving 2a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 2a + -1b + b = 0 + b Combine like terms: -1b + b = 0 2a + 0 = 0 + b 2a = 0 + b Remove the zero: 2a = b Divide each side by '2'. a = 0.5b Simplifying a = 0.5bSolution
a = {-1b, 0.5b}
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