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Simplifying 2y2 + -4y = -12 Reorder the terms: -4y + 2y2 = -12 Solving -4y + 2y2 = -12 Solving for variable 'y'. Reorder the terms: 12 + -4y + 2y2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + -4y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -2y + y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -2y + y2)' equal to zero and attempt to solve: Simplifying 6 + -2y + y2 = 0 Solving 6 + -2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + -2y + -6 + y2 = 0 + -6 Reorder the terms: 6 + -6 + -2y + y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2y + y2 = 0 + -6 -2y + y2 = 0 + -6 Combine like terms: 0 + -6 = -6 -2y + y2 = -6 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 = -6 + 1 Reorder the terms: 1 + -2y + y2 = -6 + 1 Combine like terms: -6 + 1 = -5 1 + -2y + y2 = -5 Factor a perfect square on the left side: (y + -1)(y + -1) = -5 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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