-2(4y-3)3y=11

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Solution for -2(4y-3)3y=11 equation:


Simplifying
-2(4y + -3) * 3y = 11

Reorder the terms:
-2(-3 + 4y) * 3y = 11

Reorder the terms for easier multiplication:
-2 * 3y(-3 + 4y) = 11

Multiply -2 * 3
-6y(-3 + 4y) = 11
(-3 * -6y + 4y * -6y) = 11
(18y + -24y2) = 11

Solving
18y + -24y2 = 11

Solving for variable 'y'.

Reorder the terms:
-11 + 18y + -24y2 = 11 + -11

Combine like terms: 11 + -11 = 0
-11 + 18y + -24y2 = 0

Begin completing the square.  Divide all terms by
-24 the coefficient of the squared term: 

Divide each side by '-24'.
0.4583333333 + -0.75y + y2 = 0

Move the constant term to the right:

Add '-0.4583333333' to each side of the equation.
0.4583333333 + -0.75y + -0.4583333333 + y2 = 0 + -0.4583333333

Reorder the terms:
0.4583333333 + -0.4583333333 + -0.75y + y2 = 0 + -0.4583333333

Combine like terms: 0.4583333333 + -0.4583333333 = 0.0000000000
0.0000000000 + -0.75y + y2 = 0 + -0.4583333333
-0.75y + y2 = 0 + -0.4583333333

Combine like terms: 0 + -0.4583333333 = -0.4583333333
-0.75y + y2 = -0.4583333333

The y term is -0.75y.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75y + 0.140625 + y2 = -0.4583333333 + 0.140625

Reorder the terms:
0.140625 + -0.75y + y2 = -0.4583333333 + 0.140625

Combine like terms: -0.4583333333 + 0.140625 = -0.3177083333
0.140625 + -0.75y + y2 = -0.3177083333

Factor a perfect square on the left side:
(y + -0.375)(y + -0.375) = -0.3177083333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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