x^2+14x-38=0

Simple and best practice solution for x^2+14x-38=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-38=0 equation: 


Simplifying
x2 + 14x + -38 = 0

Reorder the terms:
-38 + 14x + x2 = 0

Solving
-38 + 14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '38' to each side of the equation.
-38 + 14x + 38 + x2 = 0 + 38

Reorder the terms:
-38 + 38 + 14x + x2 = 0 + 38

Combine like terms: -38 + 38 = 0
0 + 14x + x2 = 0 + 38
14x + x2 = 0 + 38

Combine like terms: 0 + 38 = 38
14x + x2 = 38

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 = 38 + 49

Reorder the terms:
49 + 14x + x2 = 38 + 49

Combine like terms: 38 + 49 = 87
49 + 14x + x2 = 87

Factor a perfect square on the left side:
(x + 7)(x + 7) = 87

Calculate the square root of the right side: 9.327379053

Break this problem into two subproblems by setting 
(x + 7) equal to 9.327379053 and -9.327379053.


Subproblem 1
x + 7 = 9.327379053

Simplifying
x + 7 = 9.327379053

Reorder the terms:
7 + x = 9.327379053

Solving
7 + x = 9.327379053

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 = 9.327379053 + -7

Combine like terms: 7 + -7 = 0
0 + x = 9.327379053 + -7
x = 9.327379053 + -7

Combine like terms: 9.327379053 + -7 = 2.327379053
x = 2.327379053

Simplifying
x = 2.327379053


Subproblem 2
x + 7 = -9.327379053

Simplifying
x + 7 = -9.327379053

Reorder the terms:
7 + x = -9.327379053

Solving
7 + x = -9.327379053

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 = -9.327379053 + -7

Combine like terms: 7 + -7 = 0
0 + x = -9.327379053 + -7
x = -9.327379053 + -7

Combine like terms: -9.327379053 + -7 = -16.327379053
x = -16.327379053

Simplifying
x = -16.327379053


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.327379053, -16.327379053}

See similar equations:

| 5-6n=-11+2x | | 3x-8=(-9) | | 8.1-2.7x=6.75 | | 13+7x-4x+1= | | 8x-1=6x+8x+2 | | 6.1-2.7x=6.75 | | 3r-3=9 | | -141.12+21k+k^3=-149 | | (-8)=2x+4 | | 5(x+2)+46=-2x | | 50=y-9 | | 5x+3=2x+24 | | 28x+3=24x+24x+5 | | n-15=15 | | 3x=5x-20 | | 10(x-3)=6x+6 | | -48=-7m-6 | | 3x+20=-4y | | 6(1-j)+2j= | | 6+S-4=8 | | 2x-7x=80 | | 4b-2+2(b+1)= | | 15-x=23-2x | | 4.65-4.79=-6.84x | | 12+m=4m+21 | | -4x+13=-11x+10 | | 4(3+x)+2x=12 | | 3x+10=6x+4 | | 9*6= | | 2x+3(x-8)=6 | | 3(x+2)+7=31 | | 12=6x+6 |

Equations solver categories