6y^2-42y+140=0

Simple and best practice solution for 6y^2-42y+140=0 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 6y^2-42y+140=0 equation: 


Simplifying
6y2 + -42y + 140 = 0

Reorder the terms:
140 + -42y + 6y2 = 0

Solving
140 + -42y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(70 + -21y + 3y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(70 + -21y + 3y2)' equal to zero and attempt to solve:

Simplifying
70 + -21y + 3y2 = 0

Solving
70 + -21y + 3y2 = 0

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

Divide each side by '3'.
23.33333333 + -7y + y2 = 0

Move the constant term to the right:

Add '-23.33333333' to each side of the equation.
23.33333333 + -7y + -23.33333333 + y2 = 0 + -23.33333333

Reorder the terms:
23.33333333 + -23.33333333 + -7y + y2 = 0 + -23.33333333

Combine like terms: 23.33333333 + -23.33333333 = 0.00000000
0.00000000 + -7y + y2 = 0 + -23.33333333
-7y + y2 = 0 + -23.33333333

Combine like terms: 0 + -23.33333333 = -23.33333333
-7y + y2 = -23.33333333

The y term is -7y.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7y + 12.25 + y2 = -23.33333333 + 12.25

Reorder the terms:
12.25 + -7y + y2 = -23.33333333 + 12.25

Combine like terms: -23.33333333 + 12.25 = -11.08333333
12.25 + -7y + y2 = -11.08333333

Factor a perfect square on the left side:
(y + -3.5)(y + -3.5) = -11.08333333

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.

See similar equations:

| x-6-10x-2= | | 5(t+3)+9=3(t-3)+6 | | 10d=40+5d | | -3*160= | | 10x-15=4(x-2) | | 3(x+1)=x-6 | | 2(2n+1)=9(8n+6)+7 | | c(3+6)-11=70 | | 0=2x^3-3x^2+2x+1 | | 36x^2+96x-24=0 | | h(x-1)=4x+3 | | (-97-(-63))= | | 8+2x=4(2x+2)-7(x-2) | | -98=-7(7-7x) | | 30X+20y=60 | | h(-3n)=2n-2 | | 3v^2-9v-84= | | f(x)=6x^2+72x+192 | | 30x+45x=1.4 | | -16*60= | | p+14=15 | | 1-3(-2m-6)= | | 8x+15=2(x+4) | | -6(2x+6)=-96 | | 77.6+(-17.6)= | | 2x+4(-8x)0=0 | | -6y+14=-2(y+9) | | 15=-5x+35 | | 21=5+-1r | | 15(-5n+6)=-60 | | 9+4x=44 | | r-30=-27 |

Equations solver categories