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Simplifying 296 + -28y + 2y2 = 0 Solving 296 + -28y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(148 + -14y + y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(148 + -14y + y2)' equal to zero and attempt to solve: Simplifying 148 + -14y + y2 = 0 Solving 148 + -14y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-148' to each side of the equation. 148 + -14y + -148 + y2 = 0 + -148 Reorder the terms: 148 + -148 + -14y + y2 = 0 + -148 Combine like terms: 148 + -148 = 0 0 + -14y + y2 = 0 + -148 -14y + y2 = 0 + -148 Combine like terms: 0 + -148 = -148 -14y + y2 = -148 The y term is -14y. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14y + 49 + y2 = -148 + 49 Reorder the terms: 49 + -14y + y2 = -148 + 49 Combine like terms: -148 + 49 = -99 49 + -14y + y2 = -99 Factor a perfect square on the left side: (y + -7)(y + -7) = -99 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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