2y(6-8y)+3(7y-10)+5-2y=

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Solution for 2y(6-8y)+3(7y-10)+5-2y= equation:


Simplifying
2y(6 + -8y) + 3(7y + -10) + 5 + -2y = 0
(6 * 2y + -8y * 2y) + 3(7y + -10) + 5 + -2y = 0
(12y + -16y2) + 3(7y + -10) + 5 + -2y = 0

Reorder the terms:
12y + -16y2 + 3(-10 + 7y) + 5 + -2y = 0
12y + -16y2 + (-10 * 3 + 7y * 3) + 5 + -2y = 0
12y + -16y2 + (-30 + 21y) + 5 + -2y = 0

Reorder the terms:
-30 + 5 + 12y + 21y + -2y + -16y2 = 0

Combine like terms: -30 + 5 = -25
-25 + 12y + 21y + -2y + -16y2 = 0

Combine like terms: 12y + 21y = 33y
-25 + 33y + -2y + -16y2 = 0

Combine like terms: 33y + -2y = 31y
-25 + 31y + -16y2 = 0

Solving
-25 + 31y + -16y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
1.5625 + -1.9375y + y2 = 0

Move the constant term to the right:

Add '-1.5625' to each side of the equation.
1.5625 + -1.9375y + -1.5625 + y2 = 0 + -1.5625

Reorder the terms:
1.5625 + -1.5625 + -1.9375y + y2 = 0 + -1.5625

Combine like terms: 1.5625 + -1.5625 = 0.0000
0.0000 + -1.9375y + y2 = 0 + -1.5625
-1.9375y + y2 = 0 + -1.5625

Combine like terms: 0 + -1.5625 = -1.5625
-1.9375y + y2 = -1.5625

The y term is -1.9375y.  Take half its coefficient (-0.96875).
Square it (0.9384765625) and add it to both sides.

Add '0.9384765625' to each side of the equation.
-1.9375y + 0.9384765625 + y2 = -1.5625 + 0.9384765625

Reorder the terms:
0.9384765625 + -1.9375y + y2 = -1.5625 + 0.9384765625

Combine like terms: -1.5625 + 0.9384765625 = -0.6240234375
0.9384765625 + -1.9375y + y2 = -0.6240234375

Factor a perfect square on the left side:
(y + -0.96875)(y + -0.96875) = -0.6240234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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