3(y^2+1)=5(y-2)

Simple and best practice solution for 3(y^2+1)=5(y-2) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3(y^2+1)=5(y-2) equation: 


Simplifying
3(y2 + 1) = 5(y + -2)

Reorder the terms:
3(1 + y2) = 5(y + -2)
(1 * 3 + y2 * 3) = 5(y + -2)
(3 + 3y2) = 5(y + -2)

Reorder the terms:
3 + 3y2 = 5(-2 + y)
3 + 3y2 = (-2 * 5 + y * 5)
3 + 3y2 = (-10 + 5y)

Solving
3 + 3y2 = -10 + 5y

Solving for variable 'y'.

Reorder the terms:
3 + 10 + -5y + 3y2 = -10 + 5y + 10 + -5y

Combine like terms: 3 + 10 = 13
13 + -5y + 3y2 = -10 + 5y + 10 + -5y

Reorder the terms:
13 + -5y + 3y2 = -10 + 10 + 5y + -5y

Combine like terms: -10 + 10 = 0
13 + -5y + 3y2 = 0 + 5y + -5y
13 + -5y + 3y2 = 5y + -5y

Combine like terms: 5y + -5y = 0
13 + -5y + 3y2 = 0

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

Divide each side by '3'.
4.333333333 + -1.666666667y + y2 = 0

Move the constant term to the right:

Add '-4.333333333' to each side of the equation.
4.333333333 + -1.666666667y + -4.333333333 + y2 = 0 + -4.333333333

Reorder the terms:
4.333333333 + -4.333333333 + -1.666666667y + y2 = 0 + -4.333333333

Combine like terms: 4.333333333 + -4.333333333 = 0.000000000
0.000000000 + -1.666666667y + y2 = 0 + -4.333333333
-1.666666667y + y2 = 0 + -4.333333333

Combine like terms: 0 + -4.333333333 = -4.333333333
-1.666666667y + y2 = -4.333333333

The y term is -1.666666667y.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667y + 0.6944444447 + y2 = -4.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667y + y2 = -4.333333333 + 0.6944444447

Combine like terms: -4.333333333 + 0.6944444447 = -3.6388888883
0.6944444447 + -1.666666667y + y2 = -3.6388888883

Factor a perfect square on the left side:
(y + -0.8333333335)(y + -0.8333333335) = -3.6388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -2y^2=4y^2 | | y=99-1.5x | | 3(x+8)=2[x-(2-x)] | | 3+5lnx=7 | | 5(x-2)+15=4(x+3) | | 4(0.1)-2.8= | | 9x-2y=10 | | d-8=-7 | | x^2=4y^2 | | 17y^2=0 | | 9n=8n+27 | | (3x+15)=60 | | (3u^2-2u+7)= | | P=mu-mu^2 | | -1+20y-20y=-1 | | -5.9+(-1.68)= | | x+4x-1=x+15 | | 25+20=x-3x | | -x^2+6x=-34 | | x^2+4x-5=16 | | 0.5x+0.7=-13 | | X+a=by | | 11x-2(4x-4)=29 | | 11Y-1=3Y+6 | | x^2-8x+16=81 | | 201-2x=43x+16 | | Y-2=3+4 | | (8+z)(3z-1)=0 | | 17.9p=12 | | 50-5x=4x+19 | | 14xy-9x= | | 10-8x=114-36x |

Equations solver categories