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Simplifying 6a2x2 + -11ax = 10 Reorder the terms: -11ax + 6a2x2 = 10 Solving -11ax + 6a2x2 = 10 Solving for variable 'a'. Reorder the terms: -10 + -11ax + 6a2x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -11ax + 6a2x2 = 0 Factor a trinomial. (-2 + -3ax)(5 + -2ax) = 0Subproblem 1
Set the factor '(-2 + -3ax)' equal to zero and attempt to solve: Simplifying -2 + -3ax = 0 Solving -2 + -3ax = 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 + -3ax = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3ax = 0 + 2 -3ax = 0 + 2 Combine like terms: 0 + 2 = 2 -3ax = 2 Divide each side by '-3x'. a = -0.6666666667x-1 Simplifying a = -0.6666666667x-1Subproblem 2
Set the factor '(5 + -2ax)' equal to zero and attempt to solve: Simplifying 5 + -2ax = 0 Solving 5 + -2ax = 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 + -2ax = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2ax = 0 + -5 -2ax = 0 + -5 Combine like terms: 0 + -5 = -5 -2ax = -5 Divide each side by '-2x'. a = 2.5x-1 Simplifying a = 2.5x-1Solution
a = {-0.6666666667x-1, 2.5x-1}
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