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Simplifying a2x2 + 3ax + -10 = 0 Reorder the terms: -10 + 3ax + a2x2 = 0 Solving -10 + 3ax + a2x2 = 0 Solving for variable 'a'. Factor a trinomial. (-5 + -1ax)(2 + -1ax) = 0Subproblem 1
Set the factor '(-5 + -1ax)' equal to zero and attempt to solve: Simplifying -5 + -1ax = 0 Solving -5 + -1ax = 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 + -1ax = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1ax = 0 + 5 -1ax = 0 + 5 Combine like terms: 0 + 5 = 5 -1ax = 5 Divide each side by '-1x'. a = -5x-1 Simplifying a = -5x-1Subproblem 2
Set the factor '(2 + -1ax)' equal to zero and attempt to solve: Simplifying 2 + -1ax = 0 Solving 2 + -1ax = 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 + -1ax = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1ax = 0 + -2 -1ax = 0 + -2 Combine like terms: 0 + -2 = -2 -1ax = -2 Divide each side by '-1x'. a = 2x-1 Simplifying a = 2x-1Solution
a = {-5x-1, 2x-1}
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