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Simplifying 4y2 + -8y + 44 = 0 Reorder the terms: 44 + -8y + 4y2 = 0 Solving 44 + -8y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(11 + -2y + y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(11 + -2y + y2)' equal to zero and attempt to solve: Simplifying 11 + -2y + y2 = 0 Solving 11 + -2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -2y + -11 + y2 = 0 + -11 Reorder the terms: 11 + -11 + -2y + y2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2y + y2 = 0 + -11 -2y + y2 = 0 + -11 Combine like terms: 0 + -11 = -11 -2y + y2 = -11 The y term is -2y. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2y + 1 + y2 = -11 + 1 Reorder the terms: 1 + -2y + y2 = -11 + 1 Combine like terms: -11 + 1 = -10 1 + -2y + y2 = -10 Factor a perfect square on the left side: (y + -1)(y + -1) = -10 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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