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Simplifying 70b2 + -3ab + -1a2 = 0 Reorder the terms: -3ab + -1a2 + 70b2 = 0 Solving -3ab + -1a2 + 70b2 = 0 Solving for variable 'a'. Factor a trinomial. (-1a + -10b)(a + -7b) = 0Subproblem 1
Set the factor '(-1a + -10b)' equal to zero and attempt to solve: Simplifying -1a + -10b = 0 Solving -1a + -10b = 0 Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. -1a + -10b + 10b = 0 + 10b Combine like terms: -10b + 10b = 0 -1a + 0 = 0 + 10b -1a = 0 + 10b Remove the zero: -1a = 10b Divide each side by '-1'. a = -10b Simplifying a = -10bSubproblem 2
Set the factor '(a + -7b)' equal to zero and attempt to solve: Simplifying a + -7b = 0 Solving a + -7b = 0 Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. a + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 a + 0 = 0 + 7b a = 0 + 7b Remove the zero: a = 7b Simplifying a = 7bSolution
a = {-10b, 7b}
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