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Simplifying 3y2 + -6y + 30 = 0 Reorder the terms: 30 + -6y + 3y2 = 0 Solving 30 + -6y + 3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(10 + -2y + y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(10 + -2y + y2)' equal to zero and attempt to solve: Simplifying 10 + -2y + y2 = 0 Solving 10 + -2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -2y + -10 + y2 = 0 + -10 Reorder the terms: 10 + -10 + -2y + y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2y + y2 = 0 + -10 -2y + y2 = 0 + -10 Combine like terms: 0 + -10 = -10 -2y + y2 = -10 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 = -10 + 1 Reorder the terms: 1 + -2y + y2 = -10 + 1 Combine like terms: -10 + 1 = -9 1 + -2y + y2 = -9 Factor a perfect square on the left side: (y + -1)(y + -1) = -9 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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