2(12y^2-8y+6)-4(3y^2-4y+2)=0

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Solution for 2(12y^2-8y+6)-4(3y^2-4y+2)=0 equation:


Simplifying
2(12y2 + -8y + 6) + -4(3y2 + -4y + 2) = 0

Reorder the terms:
2(6 + -8y + 12y2) + -4(3y2 + -4y + 2) = 0
(6 * 2 + -8y * 2 + 12y2 * 2) + -4(3y2 + -4y + 2) = 0
(12 + -16y + 24y2) + -4(3y2 + -4y + 2) = 0

Reorder the terms:
12 + -16y + 24y2 + -4(2 + -4y + 3y2) = 0
12 + -16y + 24y2 + (2 * -4 + -4y * -4 + 3y2 * -4) = 0
12 + -16y + 24y2 + (-8 + 16y + -12y2) = 0

Reorder the terms:
12 + -8 + -16y + 16y + 24y2 + -12y2 = 0

Combine like terms: 12 + -8 = 4
4 + -16y + 16y + 24y2 + -12y2 = 0

Combine like terms: -16y + 16y = 0
4 + 0 + 24y2 + -12y2 = 0
4 + 24y2 + -12y2 = 0

Combine like terms: 24y2 + -12y2 = 12y2
4 + 12y2 = 0

Solving
4 + 12y2 = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 12y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 12y2 = 0 + -4
12y2 = 0 + -4

Combine like terms: 0 + -4 = -4
12y2 = -4

Divide each side by '12'.
y2 = -0.3333333333

Simplifying
y2 = -0.3333333333

Reorder the terms:
0.3333333333 + y2 = -0.3333333333 + 0.3333333333

Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000
0.3333333333 + y2 = 0.0000000000

The solution to this equation could not be determined.

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