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Simplifying 2y2 + 20y = -70 Reorder the terms: 20y + 2y2 = -70 Solving 20y + 2y2 = -70 Solving for variable 'y'. Reorder the terms: 70 + 20y + 2y2 = -70 + 70 Combine like terms: -70 + 70 = 0 70 + 20y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(35 + 10y + y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(35 + 10y + y2)' equal to zero and attempt to solve: Simplifying 35 + 10y + y2 = 0 Solving 35 + 10y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + 10y + -35 + y2 = 0 + -35 Reorder the terms: 35 + -35 + 10y + y2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 10y + y2 = 0 + -35 10y + y2 = 0 + -35 Combine like terms: 0 + -35 = -35 10y + y2 = -35 The y term is 10y. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10y + 25 + y2 = -35 + 25 Reorder the terms: 25 + 10y + y2 = -35 + 25 Combine like terms: -35 + 25 = -10 25 + 10y + y2 = -10 Factor a perfect square on the left side: (y + 5)(y + 5) = -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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