y^2+14y-12=0

Simple and best practice solution for y^2+14y-12=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 y^2+14y-12=0 equation: 


Simplifying
y2 + 14y + -12 = 0

Reorder the terms:
-12 + 14y + y2 = 0

Solving
-12 + 14y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + 14y + 12 + y2 = 0 + 12

Reorder the terms:
-12 + 12 + 14y + y2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 14y + y2 = 0 + 12
14y + y2 = 0 + 12

Combine like terms: 0 + 12 = 12
14y + y2 = 12

The y term is 14y.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14y + 49 + y2 = 12 + 49

Reorder the terms:
49 + 14y + y2 = 12 + 49

Combine like terms: 12 + 49 = 61
49 + 14y + y2 = 61

Factor a perfect square on the left side:
(y + 7)(y + 7) = 61

Calculate the square root of the right side: 7.810249676

Break this problem into two subproblems by setting 
(y + 7) equal to 7.810249676 and -7.810249676.


Subproblem 1
y + 7 = 7.810249676

Simplifying
y + 7 = 7.810249676

Reorder the terms:
7 + y = 7.810249676

Solving
7 + y = 7.810249676

Solving for variable 'y'.

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

Add '-7' to each side of the equation.
7 + -7 + y = 7.810249676 + -7

Combine like terms: 7 + -7 = 0
0 + y = 7.810249676 + -7
y = 7.810249676 + -7

Combine like terms: 7.810249676 + -7 = 0.810249676
y = 0.810249676

Simplifying
y = 0.810249676


Subproblem 2
y + 7 = -7.810249676

Simplifying
y + 7 = -7.810249676

Reorder the terms:
7 + y = -7.810249676

Solving
7 + y = -7.810249676

Solving for variable 'y'.

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

Add '-7' to each side of the equation.
7 + -7 + y = -7.810249676 + -7

Combine like terms: 7 + -7 = 0
0 + y = -7.810249676 + -7
y = -7.810249676 + -7

Combine like terms: -7.810249676 + -7 = -14.810249676
y = -14.810249676

Simplifying
y = -14.810249676


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.810249676, -14.810249676}

See similar equations:

| -15=6(7v-4) | | ln(9)=ln(x-8)-ln(16) | | 91/3-1/3= | | log(2)+log(8)=2 | | 9.33= | | X+0.06=10.6 | | 6xy^2+6x^2y-8xy^2+15x^2y= | | x=1.18x | | -2x^2-5x+42=0 | | x+10=1.18x | | y=3tan(pix) | | y-4=-3(x-1) | | PMK-6=X | | PMK-6=Y | | 1.18x=1.18 | | -3x^2-5x-1=0 | | -6z+5(3-4z)= | | 1.18x=18 | | x^2-1.2x+0.25=0 | | 2/3m-4=!4 | | 1x-15=-41.4 | | -5+9(2w+3)= | | 1.18x=0.18 | | 3/2x=5/4 | | 60x+20y=140000 | | 1.18x=118 | | f(x)=5(ln9)^4/4 | | 3b-6b=9 | | Y=-1/6-1/2 | | f(x)=x^2+8-3 | | -7/9-2(1/3) | | -7/9-2(1/9) |

Equations solver categories