x^2+4x-154.5=0

Simple and best practice solution for x^2+4x-154.5=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+4x-154.5=0 equation: 


Simplifying
x2 + 4x + -154.5 = 0

Reorder the terms:
-154.5 + 4x + x2 = 0

Solving
-154.5 + 4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '154.5' to each side of the equation.
-154.5 + 4x + 154.5 + x2 = 0 + 154.5

Reorder the terms:
-154.5 + 154.5 + 4x + x2 = 0 + 154.5

Combine like terms: -154.5 + 154.5 = 0.0
0.0 + 4x + x2 = 0 + 154.5
4x + x2 = 0 + 154.5

Combine like terms: 0 + 154.5 = 154.5
4x + x2 = 154.5

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 154.5 + 4

Reorder the terms:
4 + 4x + x2 = 154.5 + 4

Combine like terms: 154.5 + 4 = 158.5
4 + 4x + x2 = 158.5

Factor a perfect square on the left side:
(x + 2)(x + 2) = 158.5

Calculate the square root of the right side: 12.589678312

Break this problem into two subproblems by setting 
(x + 2) equal to 12.589678312 and -12.589678312.


Subproblem 1
x + 2 = 12.589678312

Simplifying
x + 2 = 12.589678312

Reorder the terms:
2 + x = 12.589678312

Solving
2 + x = 12.589678312

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 12.589678312 + -2

Combine like terms: 2 + -2 = 0
0 + x = 12.589678312 + -2
x = 12.589678312 + -2

Combine like terms: 12.589678312 + -2 = 10.589678312
x = 10.589678312

Simplifying
x = 10.589678312


Subproblem 2
x + 2 = -12.589678312

Simplifying
x + 2 = -12.589678312

Reorder the terms:
2 + x = -12.589678312

Solving
2 + x = -12.589678312

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -12.589678312 + -2

Combine like terms: 2 + -2 = 0
0 + x = -12.589678312 + -2
x = -12.589678312 + -2

Combine like terms: -12.589678312 + -2 = -14.589678312
x = -14.589678312

Simplifying
x = -14.589678312


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.589678312, -14.589678312}

See similar equations:

| 24x^2-68x+48= | | 5/6*4/15 | | 2400=600-40x | | 3y-4+y+40=5y+40-3y | | .04x+8.1=6.7 | | -3(9+A)=-72 | | (5x+30)+(x+90)=180 | | 10x(2x-5)(x-1)= | | x/9=80/100 | | 36x^2+171x+189= | | (-6)-(-5)+(-4)= | | y=30*3/4 | | 29=52-x | | y=30*2/3 | | 44=x-21 | | .04x+4.3=2.9 | | 41=x+18 | | -6(M-8)=8(m+6) | | y=30*1/2 | | 9x^2-30x+16= | | y=30x1/2 | | -9/3-(-12) | | (-5a/3)^-3 | | 10(x-2)(3x+2)= | | 5+2v=-3 | | -10+x+3x=-6x | | 19+2p=8-7(4p+7) | | x+2=18-3x | | 45=2x+1(x+1) | | ((3)/(x-2))-((8)/(x^2-4)) | | 6x+10=-8x-20 | | (1/6x^-7y^2)(1/9x^3y^-7) |

Equations solver categories