x^2+14x+12=0

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


Simplifying
x2 + 14x + 12 = 0

Reorder the terms:
12 + 14x + x2 = 0

Solving
12 + 14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 14x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + 14x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 14x + x2 = 0 + -12
14x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
14x + x2 = -12

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 = -12 + 49

Reorder the terms:
49 + 14x + x2 = -12 + 49

Combine like terms: -12 + 49 = 37
49 + 14x + x2 = 37

Factor a perfect square on the left side:
(x + 7)(x + 7) = 37

Calculate the square root of the right side: 6.08276253

Break this problem into two subproblems by setting 
(x + 7) equal to 6.08276253 and -6.08276253.


Subproblem 1
x + 7 = 6.08276253

Simplifying
x + 7 = 6.08276253

Reorder the terms:
7 + x = 6.08276253

Solving
7 + x = 6.08276253

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 = 6.08276253 + -7

Combine like terms: 7 + -7 = 0
0 + x = 6.08276253 + -7
x = 6.08276253 + -7

Combine like terms: 6.08276253 + -7 = -0.91723747
x = -0.91723747

Simplifying
x = -0.91723747


Subproblem 2
x + 7 = -6.08276253

Simplifying
x + 7 = -6.08276253

Reorder the terms:
7 + x = -6.08276253

Solving
7 + x = -6.08276253

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 = -6.08276253 + -7

Combine like terms: 7 + -7 = 0
0 + x = -6.08276253 + -7
x = -6.08276253 + -7

Combine like terms: -6.08276253 + -7 = -13.08276253
x = -13.08276253

Simplifying
x = -13.08276253


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.91723747, -13.08276253}

See similar equations:

| -7r=-42 | | 27=12y-3(6-2c) | | 48/2*6-4 | | -8+3d=1 | | (-3uv/w^4)^2= | | 3y-12=2y+1 | | 3y-12=2y-1 | | x-1x+5=x^2+4x-2 | | (x^5y^4)^1/2 | | 8v^6x^6-2x^3/2w^4x^6 | | (2a-7)(6a^2+6a-7)= | | 2sin^2x+sinx=0 | | 2(-7v+5)=-39-7v | | 2sin^2x+sin=0 | | -(8-6n)+2=-6+2n | | x-6/x-4=7/4-x | | 3x(x)=8x | | 5(x-1)+3(4-x)= | | 3.6x=8 | | 6x^3-5=7x^2 | | 3x^2(x+5)=y | | 4a-7ab-a+5ab= | | 3c-5=28 | | x^4y^9/xy^-3 | | 5x^2+1x=-6 | | 6a+2=7 | | -6b+24=-8b-(1-7b) | | (x-3)(x-4)=20 | | -5x=-3x+2(-8x-7) | | (5-3x)-(-4x+6)=(8x-11)-(3x-6) | | 10m-4(3m+7)=6m | | 45=2y+13 |

Equations solver categories