y^2-10y-14=0

Simple and best practice solution for y^2-10y-14=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^2-10y-14=0 equation: 


Simplifying
y2 + -10y + -14 = 0

Reorder the terms:
-14 + -10y + y2 = 0

Solving
-14 + -10y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '14' to each side of the equation.
-14 + -10y + 14 + y2 = 0 + 14

Reorder the terms:
-14 + 14 + -10y + y2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -10y + y2 = 0 + 14
-10y + y2 = 0 + 14

Combine like terms: 0 + 14 = 14
-10y + y2 = 14

The y term is -10y.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10y + 25 + y2 = 14 + 25

Reorder the terms:
25 + -10y + y2 = 14 + 25

Combine like terms: 14 + 25 = 39
25 + -10y + y2 = 39

Factor a perfect square on the left side:
(y + -5)(y + -5) = 39

Calculate the square root of the right side: 6.244997998

Break this problem into two subproblems by setting 
(y + -5) equal to 6.244997998 and -6.244997998.


Subproblem 1
y + -5 = 6.244997998

Simplifying
y + -5 = 6.244997998

Reorder the terms:
-5 + y = 6.244997998

Solving
-5 + y = 6.244997998

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + y = 6.244997998 + 5

Combine like terms: -5 + 5 = 0
0 + y = 6.244997998 + 5
y = 6.244997998 + 5

Combine like terms: 6.244997998 + 5 = 11.244997998
y = 11.244997998

Simplifying
y = 11.244997998


Subproblem 2
y + -5 = -6.244997998

Simplifying
y + -5 = -6.244997998

Reorder the terms:
-5 + y = -6.244997998

Solving
-5 + y = -6.244997998

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + y = -6.244997998 + 5

Combine like terms: -5 + 5 = 0
0 + y = -6.244997998 + 5
y = -6.244997998 + 5

Combine like terms: -6.244997998 + 5 = -1.244997998
y = -1.244997998

Simplifying
y = -1.244997998


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {11.244997998, -1.244997998}

See similar equations:

| r-6/r-4 | | 6x+8=17-(5-2x) | | 16r^2+72s+81=0 | | e^3x+5=123 | | x-1+49=x^2 | | (14x-15)+(x)=90 | | 1/4h=16 | | tan(x+y)=x | | 16=m+7 | | y=ln(7)ln(x) | | c^2+24+10c=0 | | 3x*2=7x | | 2y+3y=16y+9 | | -54x=3x^3-27x^2 | | -18-w+2(w-6)=0.5(12-2w) | | 4w+w^2=16 | | -2v(v-1)(v-2)=0 | | (5z-7)(1-z)=0 | | w/2w-3=w/4 | | log3/4(4/3) | | (v-3)(v-7)=0 | | 3x+25=65 | | 3x+18-2x-16=30 | | 3.40+0.90+1.25+3.30+0.90+3.50+0.90= | | 56b=1/7/8 | | 2x-5y=102 | | 0+50*1-60-60*0=10 | | ((.01-2x)^2)/(x)^2 | | 6x+15y=12 | | 2/3t9 | | 15x+10=4x^2-12x+9 | | 2/3z=4/1/3 |

Equations solver categories