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Simplifying 2a7 + 2a6y + -12a5y2 = 0 Reorder the terms: -12a5y2 + 2a6y + 2a7 = 0 Solving -12a5y2 + 2a6y + 2a7 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a5'. 2a5(-6y2 + ay + a2) = 0 Factor a trinomial. 2a5((-3y + -1a)(2y + -1a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a5' equal to zero and attempt to solve: Simplifying a5 = 0 Solving a5 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3y + -1a)' equal to zero and attempt to solve: Simplifying -3y + -1a = 0 Reorder the terms: -1a + -3y = 0 Solving -1a + -3y = 0 Move all terms containing a to the left, all other terms to the right. Add '3y' to each side of the equation. -1a + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 -1a + 0 = 0 + 3y -1a = 0 + 3y Remove the zero: -1a = 3y Divide each side by '-1'. a = -3y Simplifying a = -3ySubproblem 3
Set the factor '(2y + -1a)' equal to zero and attempt to solve: Simplifying 2y + -1a = 0 Reorder the terms: -1a + 2y = 0 Solving -1a + 2y = 0 Move all terms containing a to the left, all other terms to the right. Add '-2y' to each side of the equation. -1a + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -1a + 0 = 0 + -2y -1a = 0 + -2y Remove the zero: -1a = -2y Divide each side by '-1'. a = 2y Simplifying a = 2ySolution
a = {-3y, 2y}
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