-3y^2-6y-4=0

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Solution for -3y^2-6y-4=0 equation:


Simplifying
-3y2 + -6y + -4 = 0

Reorder the terms:
-4 + -6y + -3y2 = 0

Solving
-4 + -6y + -3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 6y + 3y2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(4 + 6y + 3y2)' equal to zero and attempt to solve: Simplifying 4 + 6y + 3y2 = 0 Solving 4 + 6y + 3y2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1.333333333 + 2y + y2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 2y + -1.333333333 + y2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 2y + y2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 2y + y2 = 0 + -1.333333333 2y + y2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 2y + y2 = -1.333333333 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 = -1.333333333 + 1 Reorder the terms: 1 + 2y + y2 = -1.333333333 + 1 Combine like terms: -1.333333333 + 1 = -0.333333333 1 + 2y + y2 = -0.333333333 Factor a perfect square on the left side: (y + 1)(y + 1) = -0.333333333 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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