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Simplifying 3y2 + 12y + 21 = 0 Reorder the terms: 21 + 12y + 3y2 = 0 Solving 21 + 12y + 3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(7 + 4y + y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + 4y + y2)' equal to zero and attempt to solve: Simplifying 7 + 4y + y2 = 0 Solving 7 + 4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 4y + -7 + y2 = 0 + -7 Reorder the terms: 7 + -7 + 4y + y2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4y + y2 = 0 + -7 4y + y2 = 0 + -7 Combine like terms: 0 + -7 = -7 4y + y2 = -7 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 = -7 + 4 Reorder the terms: 4 + 4y + y2 = -7 + 4 Combine like terms: -7 + 4 = -3 4 + 4y + y2 = -3 Factor a perfect square on the left side: (y + 2)(y + 2) = -3 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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