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Simplifying 2y2 + -17y + 36 = y + -4y + -4 Reorder the terms: 36 + -17y + 2y2 = y + -4y + -4 Reorder the terms: 36 + -17y + 2y2 = -4 + y + -4y Combine like terms: y + -4y = -3y 36 + -17y + 2y2 = -4 + -3y Solving 36 + -17y + 2y2 = -4 + -3y Solving for variable 'y'. Reorder the terms: 36 + 4 + -17y + 3y + 2y2 = -4 + -3y + 4 + 3y Combine like terms: 36 + 4 = 40 40 + -17y + 3y + 2y2 = -4 + -3y + 4 + 3y Combine like terms: -17y + 3y = -14y 40 + -14y + 2y2 = -4 + -3y + 4 + 3y Reorder the terms: 40 + -14y + 2y2 = -4 + 4 + -3y + 3y Combine like terms: -4 + 4 = 0 40 + -14y + 2y2 = 0 + -3y + 3y 40 + -14y + 2y2 = -3y + 3y Combine like terms: -3y + 3y = 0 40 + -14y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(20 + -7y + y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(20 + -7y + y2)' equal to zero and attempt to solve: Simplifying 20 + -7y + y2 = 0 Solving 20 + -7y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -7y + -20 + y2 = 0 + -20 Reorder the terms: 20 + -20 + -7y + y2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -7y + y2 = 0 + -20 -7y + y2 = 0 + -20 Combine like terms: 0 + -20 = -20 -7y + y2 = -20 The y term is -7y. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7y + 12.25 + y2 = -20 + 12.25 Reorder the terms: 12.25 + -7y + y2 = -20 + 12.25 Combine like terms: -20 + 12.25 = -7.75 12.25 + -7y + y2 = -7.75 Factor a perfect square on the left side: (y + -3.5)(y + -3.5) = -7.75 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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