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Simplifying a2b4 + -3ab2 + -10 = 0 Reorder the terms: -10 + -3ab2 + a2b4 = 0 Solving -10 + -3ab2 + a2b4 = 0 Solving for variable 'a'. Factor a trinomial. (-2 + -1ab2)(5 + -1ab2) = 0Subproblem 1
Set the factor '(-2 + -1ab2)' equal to zero and attempt to solve: Simplifying -2 + -1ab2 = 0 Solving -2 + -1ab2 = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1ab2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1ab2 = 0 + 2 -1ab2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1ab2 = 2 Divide each side by '-1b2'. a = -2b-2 Simplifying a = -2b-2Subproblem 2
Set the factor '(5 + -1ab2)' equal to zero and attempt to solve: Simplifying 5 + -1ab2 = 0 Solving 5 + -1ab2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1ab2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1ab2 = 0 + -5 -1ab2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1ab2 = -5 Divide each side by '-1b2'. a = 5b-2 Simplifying a = 5b-2Solution
a = {-2b-2, 5b-2}
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