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Simplifying Equation(2y + -7)(y + 2) = 0 Reorder the terms: ainoqtuE(-7 + 2y)(y + 2) = 0 Reorder the terms: ainoqtuE(-7 + 2y)(2 + y) = 0 Multiply (-7 + 2y) * (2 + y) ainoqtuE(-7(2 + y) + 2y * (2 + y)) = 0 ainoqtuE((2 * -7 + y * -7) + 2y * (2 + y)) = 0 ainoqtuE((-14 + -7y) + 2y * (2 + y)) = 0 ainoqtuE(-14 + -7y + (2 * 2y + y * 2y)) = 0 ainoqtuE(-14 + -7y + (4y + 2y2)) = 0 Combine like terms: -7y + 4y = -3y ainoqtuE(-14 + -3y + 2y2) = 0 (-14 * ainoqtuE + -3y * ainoqtuE + 2y2 * ainoqtuE) = 0 (-14ainoqtuE + -3ainoqtuyE + 2ainoqtuy2E) = 0 Solving -14ainoqtuE + -3ainoqtuyE + 2ainoqtuy2E = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ainoqtuE'. ainoqtuE(-14 + -3y + 2y2) = 0 Factor a trinomial. ainoqtuE((-2 + -1y)(7 + -2y)) = 0Subproblem 1
Set the factor 'ainoqtuE' equal to zero and attempt to solve: Simplifying ainoqtuE = 0 Solving ainoqtuE = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ainoqtuE = 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 '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 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 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Add 'y' to each side of the equation. -1y + y = 2 + y Combine like terms: -1y + y = 0 0 = 2 + y Simplifying 0 = 2 + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Add '2y' to each side of the equation. -2y + 2y = -7 + 2y Combine like terms: -2y + 2y = 0 0 = -7 + 2y Simplifying 0 = -7 + 2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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