x^2-14x-74=0

Simple and best practice solution for x^2-14x-74=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 x^2-14x-74=0 equation: 


Simplifying
x2 + -14x + -74 = 0

Reorder the terms:
-74 + -14x + x2 = 0

Solving
-74 + -14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '74' to each side of the equation.
-74 + -14x + 74 + x2 = 0 + 74

Reorder the terms:
-74 + 74 + -14x + x2 = 0 + 74

Combine like terms: -74 + 74 = 0
0 + -14x + x2 = 0 + 74
-14x + x2 = 0 + 74

Combine like terms: 0 + 74 = 74
-14x + x2 = 74

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

Add '49' to each side of the equation.
-14x + 49 + x2 = 74 + 49

Reorder the terms:
49 + -14x + x2 = 74 + 49

Combine like terms: 74 + 49 = 123
49 + -14x + x2 = 123

Factor a perfect square on the left side:
(x + -7)(x + -7) = 123

Calculate the square root of the right side: 11.090536506

Break this problem into two subproblems by setting 
(x + -7) equal to 11.090536506 and -11.090536506.


Subproblem 1
x + -7 = 11.090536506

Simplifying
x + -7 = 11.090536506

Reorder the terms:
-7 + x = 11.090536506

Solving
-7 + x = 11.090536506

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = 11.090536506 + 7

Combine like terms: -7 + 7 = 0
0 + x = 11.090536506 + 7
x = 11.090536506 + 7

Combine like terms: 11.090536506 + 7 = 18.090536506
x = 18.090536506

Simplifying
x = 18.090536506


Subproblem 2
x + -7 = -11.090536506

Simplifying
x + -7 = -11.090536506

Reorder the terms:
-7 + x = -11.090536506

Solving
-7 + x = -11.090536506

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = -11.090536506 + 7

Combine like terms: -7 + 7 = 0
0 + x = -11.090536506 + 7
x = -11.090536506 + 7

Combine like terms: -11.090536506 + 7 = -4.090536506
x = -4.090536506

Simplifying
x = -4.090536506


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {18.090536506, -4.090536506}

See similar equations:

| 127.4=2.55x+73.85 | | 2-2(2-5)= | | 3X-60=-7 | | 12900+1250x=23400-500x | | 8x-(2x-3)=12 | | 3b=5b+2 | | 2x-20=(x-10)+25 | | 16x=9/6 | | 2x^3+4x^2-126x=0 | | 16+31=31+ | | 5=n+29 | | (2x^2)+x-36=0 | | 30=5(r/5)-3 | | 4(2p-3)-3(3p+1)=-18-p+3 | | 5.4t+14.6-10.1t=12.8t-3.5t-0.6 | | 5(z+b)=8z | | x/4=20 | | n+1=-27 | | n+1=-21 | | a^2+8a-100=0 | | 4a+3(a+1)=-22+4(3a-5) | | 2.9-18t=-82.5 | | 6x^2-31x+40=0 | | 4(4-w)=3(2w-2) | | -2=x/16 | | 4a+3(a+1)= | | 18X-20=X-3 | | 5=-8+t | | 9x+8y=13 | | 4xy+-4xz+7xy+-11xy= | | -1(9n-2)-15-1(-n)= | | x+9=4x-24 |

Equations solver categories