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Simplifying 2y2 + -12y + 40 = 0 Reorder the terms: 40 + -12y + 2y2 = 0 Solving 40 + -12y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(20 + -6y + y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(20 + -6y + y2)' equal to zero and attempt to solve: Simplifying 20 + -6y + y2 = 0 Solving 20 + -6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -6y + -20 + y2 = 0 + -20 Reorder the terms: 20 + -20 + -6y + y2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -6y + y2 = 0 + -20 -6y + y2 = 0 + -20 Combine like terms: 0 + -20 = -20 -6y + y2 = -20 The y term is -6y. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6y + 9 + y2 = -20 + 9 Reorder the terms: 9 + -6y + y2 = -20 + 9 Combine like terms: -20 + 9 = -11 9 + -6y + y2 = -11 Factor a perfect square on the left side: (y + -3)(y + -3) = -11 Can't calculate square root of the right side. 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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