7y^2-4y+7=0

Simple and best practice solution for 7y^2-4y+7=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 7y^2-4y+7=0 equation:


Simplifying
7y2 + -4y + 7 = 0

Reorder the terms:
7 + -4y + 7y2 = 0

Solving
7 + -4y + 7y2 = 0

Solving for variable 'y'.

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

Divide each side by '7'.
1 + -0.5714285714y + y2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.5714285714y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + -0.5714285714y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.5714285714y + y2 = 0 + -1
-0.5714285714y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.5714285714y + y2 = -1

The y term is -0.5714285714y.  Take half its coefficient (-0.2857142857).
Square it (0.08163265305) and add it to both sides.

Add '0.08163265305' to each side of the equation.
-0.5714285714y + 0.08163265305 + y2 = -1 + 0.08163265305

Reorder the terms:
0.08163265305 + -0.5714285714y + y2 = -1 + 0.08163265305

Combine like terms: -1 + 0.08163265305 = -0.91836734695
0.08163265305 + -0.5714285714y + y2 = -0.91836734695

Factor a perfect square on the left side:
(y + -0.2857142857)(y + -0.2857142857) = -0.91836734695

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 8x-(10+5x)=11 | | 20x+25y+24z=180 | | 7x+1=4x+8 | | 12z^2-20z=0 | | 24=(64-y)142 | | 7y^2+4y=8y-7 | | 9.3027ln(x)-24.787=0 | | 21z^2-44z+15=0 | | x(3x^2)=0 | | 3h^2+12h+153=0 | | 4x-2(2x+5)=-10 | | 7z^2+25z-12=0 | | 6n*6n+8=2 | | 0.3x-2.6=0.1 | | 7m-8-2m= | | x^7-12x-11=0 | | 3-12x-18=33 | | -3(5t-3)+4t=5t | | 3(5-6z)=14z-2(1+2z)+2 | | 2=.75(2)-4 | | 2x+5y+35=180 | | -5(2t-5)+6t=2t-4 | | 2=.75x-4 | | 0.50x+0.25(70)=33.5 | | x=.75x-4 | | -5-a=a-1 | | 3(4x+5)=15x+4-3x+11 | | 5x^2+3x^2=64 | | 10x-15=4x | | (x+4)*2-(4x^2-4x+1)=8x | | 6x+3=-5+2x+16 | | 47+8(y-3)= |

Equations solver categories