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