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Simplifying 2y2 + 8y = -40 Reorder the terms: 8y + 2y2 = -40 Solving 8y + 2y2 = -40 Solving for variable 'y'. Reorder the terms: 40 + 8y + 2y2 = -40 + 40 Combine like terms: -40 + 40 = 0 40 + 8y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(20 + 4y + y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(20 + 4y + y2)' equal to zero and attempt to solve: Simplifying 20 + 4y + y2 = 0 Solving 20 + 4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 4y + -20 + y2 = 0 + -20 Reorder the terms: 20 + -20 + 4y + y2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4y + y2 = 0 + -20 4y + y2 = 0 + -20 Combine like terms: 0 + -20 = -20 4y + y2 = -20 The y term is 4y. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4y + 4 + y2 = -20 + 4 Reorder the terms: 4 + 4y + y2 = -20 + 4 Combine like terms: -20 + 4 = -16 4 + 4y + y2 = -16 Factor a perfect square on the left side: (y + 2)(y + 2) = -16 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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