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Simplifying 5y2 + 20y + 150 = 0 Reorder the terms: 150 + 20y + 5y2 = 0 Solving 150 + 20y + 5y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5'. 5(30 + 4y + y2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(30 + 4y + y2)' equal to zero and attempt to solve: Simplifying 30 + 4y + y2 = 0 Solving 30 + 4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + 4y + -30 + y2 = 0 + -30 Reorder the terms: 30 + -30 + 4y + y2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 4y + y2 = 0 + -30 4y + y2 = 0 + -30 Combine like terms: 0 + -30 = -30 4y + y2 = -30 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 = -30 + 4 Reorder the terms: 4 + 4y + y2 = -30 + 4 Combine like terms: -30 + 4 = -26 4 + 4y + y2 = -26 Factor a perfect square on the left side: (y + 2)(y + 2) = -26 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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