x^2+14x+25.5=0

Simple and best practice solution for x^2+14x+25.5=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+25.5=0 equation: 


Simplifying
x2 + 14x + 25.5 = 0

Reorder the terms:
25.5 + 14x + x2 = 0

Solving
25.5 + 14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-25.5' to each side of the equation.
25.5 + 14x + -25.5 + x2 = 0 + -25.5

Reorder the terms:
25.5 + -25.5 + 14x + x2 = 0 + -25.5

Combine like terms: 25.5 + -25.5 = 0.0
0.0 + 14x + x2 = 0 + -25.5
14x + x2 = 0 + -25.5

Combine like terms: 0 + -25.5 = -25.5
14x + x2 = -25.5

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 = -25.5 + 49

Reorder the terms:
49 + 14x + x2 = -25.5 + 49

Combine like terms: -25.5 + 49 = 23.5
49 + 14x + x2 = 23.5

Factor a perfect square on the left side:
(x + 7)(x + 7) = 23.5

Calculate the square root of the right side: 4.847679857

Break this problem into two subproblems by setting 
(x + 7) equal to 4.847679857 and -4.847679857.


Subproblem 1
x + 7 = 4.847679857

Simplifying
x + 7 = 4.847679857

Reorder the terms:
7 + x = 4.847679857

Solving
7 + x = 4.847679857

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 = 4.847679857 + -7

Combine like terms: 7 + -7 = 0
0 + x = 4.847679857 + -7
x = 4.847679857 + -7

Combine like terms: 4.847679857 + -7 = -2.152320143
x = -2.152320143

Simplifying
x = -2.152320143


Subproblem 2
x + 7 = -4.847679857

Simplifying
x + 7 = -4.847679857

Reorder the terms:
7 + x = -4.847679857

Solving
7 + x = -4.847679857

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 = -4.847679857 + -7

Combine like terms: 7 + -7 = 0
0 + x = -4.847679857 + -7
x = -4.847679857 + -7

Combine like terms: -4.847679857 + -7 = -11.847679857
x = -11.847679857

Simplifying
x = -11.847679857


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-2.152320143, -11.847679857}

See similar equations:

| -10x+3(6-6x)=3(-9x+3) | | 48=(2)(4)(h) | | u^2=18u | | 9=23-2n | | 9=23-n | | 2(X)=10(11) | | 3(x-6)=-3(x+6) | | 5w^2-21y=0 | | 3y^2-21y=0 | | 5(x+9)=3(x+10) | | 18+11x+2x^2=0 | | -3z(z-7)(z+2)=0 | | 3n^2-3n-18n= | | 6x+15=68 | | 2(10.5)+2w=34 | | (d-4/4)^2=81 | | (5+u)(5u+1)=0 | | 4x^2=3+6x | | 40+30Ln=(2x+3) | | 628-124= | | 2p^2+8p+6= | | 3a+13= | | 6-2y=3y-2 | | 4xy-7=37 | | -12b^5+8b^4= | | 8x+32y+y^2=-263-x^2 | | X-7/3=25 | | (9/y)-(9/(y-10))-10=0 | | -16t^2+vt+225=0 | | (9/x)+x=6 | | 8x^2-44x+48=0 | | -7/8x=42 |

Equations solver categories