x^2+14x-294=0

Simple and best practice solution for x^2+14x-294=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-294=0 equation: 


Simplifying
x2 + 14x + -294 = 0

Reorder the terms:
-294 + 14x + x2 = 0

Solving
-294 + 14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '294' to each side of the equation.
-294 + 14x + 294 + x2 = 0 + 294

Reorder the terms:
-294 + 294 + 14x + x2 = 0 + 294

Combine like terms: -294 + 294 = 0
0 + 14x + x2 = 0 + 294
14x + x2 = 0 + 294

Combine like terms: 0 + 294 = 294
14x + x2 = 294

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 = 294 + 49

Reorder the terms:
49 + 14x + x2 = 294 + 49

Combine like terms: 294 + 49 = 343
49 + 14x + x2 = 343

Factor a perfect square on the left side:
(x + 7)(x + 7) = 343

Calculate the square root of the right side: 18.520259177

Break this problem into two subproblems by setting 
(x + 7) equal to 18.520259177 and -18.520259177.


Subproblem 1
x + 7 = 18.520259177

Simplifying
x + 7 = 18.520259177

Reorder the terms:
7 + x = 18.520259177

Solving
7 + x = 18.520259177

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 = 18.520259177 + -7

Combine like terms: 7 + -7 = 0
0 + x = 18.520259177 + -7
x = 18.520259177 + -7

Combine like terms: 18.520259177 + -7 = 11.520259177
x = 11.520259177

Simplifying
x = 11.520259177


Subproblem 2
x + 7 = -18.520259177

Simplifying
x + 7 = -18.520259177

Reorder the terms:
7 + x = -18.520259177

Solving
7 + x = -18.520259177

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 = -18.520259177 + -7

Combine like terms: 7 + -7 = 0
0 + x = -18.520259177 + -7
x = -18.520259177 + -7

Combine like terms: -18.520259177 + -7 = -25.520259177
x = -25.520259177

Simplifying
x = -25.520259177


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {11.520259177, -25.520259177}

See similar equations:

| -8x+4y=12 | | 18+6x=9x+18 | | -28=3a+2 | | 4x+1=10x-17 | | y=3y-5 | | -x-4y=2 | | 8x^2-42x+27=0 | | 72=-8v+8 | | -16+3=-32+13x | | 4n+3=18-2n | | 3a+21=30 | | -16t^2+144t-288=0 | | 5h-25= | | x^2-8x=-75 | | -x^2+22x-121=0 | | 8x+13y=162 | | 10-7t=2t+19 | | 7x-11=-27+3x | | -x^2+20x-100=0 | | m^2-3=m | | X-u=1 | | 5(x-2)=x+4 | | 10x+8=13x-7 | | x^2-10x-21=5 | | 3457x=897 | | 6y^2=10y+1 | | 8r=-8 | | 7(y+4)=49 | | p^2=-16p-60 | | 7y+x-3=42 | | 5x-7=8x-8 | | (12)-9x+7=3x+19 |

Equations solver categories