2y^2-4y=-40

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Solution for 2y^2-4y=-40 equation:


Simplifying
2y2 + -4y = -40

Reorder the terms:
-4y + 2y2 = -40

Solving
-4y + 2y2 = -40

Solving for variable 'y'.

Reorder the terms:
40 + -4y + 2y2 = -40 + 40

Combine like terms: -40 + 40 = 0
40 + -4y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + -2y + y2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(20 + -2y + y2)' equal to zero and attempt to solve: Simplifying 20 + -2y + y2 = 0 Solving 20 + -2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -2y + -20 + y2 = 0 + -20 Reorder the terms: 20 + -20 + -2y + y2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -2y + y2 = 0 + -20 -2y + y2 = 0 + -20 Combine like terms: 0 + -20 = -20 -2y + y2 = -20 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 = -20 + 1 Reorder the terms: 1 + -2y + y2 = -20 + 1 Combine like terms: -20 + 1 = -19 1 + -2y + y2 = -19 Factor a perfect square on the left side: (y + -1)(y + -1) = -19 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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