184.2-5x=x^2

Simple and best practice solution for 184.2-5x=x^2 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 184.2-5x=x^2 equation: 


Simplifying
184.2 + -5x = x2

Solving
184.2 + -5x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
184.2 + -5x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-184.2 + 5x + x2 = 0

Move the constant term to the right:

Add '184.2' to each side of the equation.
-184.2 + 5x + 184.2 + x2 = 0 + 184.2

Reorder the terms:
-184.2 + 184.2 + 5x + x2 = 0 + 184.2

Combine like terms: -184.2 + 184.2 = 0.0
0.0 + 5x + x2 = 0 + 184.2
5x + x2 = 0 + 184.2

Combine like terms: 0 + 184.2 = 184.2
5x + x2 = 184.2

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 184.2 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 184.2 + 6.25

Combine like terms: 184.2 + 6.25 = 190.45
6.25 + 5x + x2 = 190.45

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 190.45

Calculate the square root of the right side: 13.800362314

Break this problem into two subproblems by setting 
(x + 2.5) equal to 13.800362314 and -13.800362314.


Subproblem 1
x + 2.5 = 13.800362314

Simplifying
x + 2.5 = 13.800362314

Reorder the terms:
2.5 + x = 13.800362314

Solving
2.5 + x = 13.800362314

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 13.800362314 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 13.800362314 + -2.5
x = 13.800362314 + -2.5

Combine like terms: 13.800362314 + -2.5 = 11.300362314
x = 11.300362314

Simplifying
x = 11.300362314


Subproblem 2
x + 2.5 = -13.800362314

Simplifying
x + 2.5 = -13.800362314

Reorder the terms:
2.5 + x = -13.800362314

Solving
2.5 + x = -13.800362314

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -13.800362314 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -13.800362314 + -2.5
x = -13.800362314 + -2.5

Combine like terms: -13.800362314 + -2.5 = -16.300362314
x = -16.300362314

Simplifying
x = -16.300362314


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {11.300362314, -16.300362314}

See similar equations:

| 8x+4-24x=56 | | 8x+4-24x=48 | | y=2.5x+4.2 | | 7/8x-2+1/4x=5/24x+1/6 | | 64-4x=32x+20 | | X+3-3=x | | 8x+4-24x=40 | | 31-8+8=31 | | 8h+5k-9(2h-9k)= | | 6X+67=11+12 | | 3n-3=9 | | 6x-3=3(3x-2) | | U=7(3N+35)+8(N+1) | | 3.13=-logx | | 8x+1=8(x+8) | | 800=-5.5V+5400 | | 10x+7x=40+x | | 3a^2+a+6=0 | | 4600/-5.5 | | -12+16=16+b | | n-20*7=28 | | 3(2x-15)=75 | | 2m2/5=10 | | 3a^2-2a-21=0 | | 8/y+6/y=2 | | 8(3x+1)=5x-7x | | 5k-1(3k-10)=0 | | 2w-3+3(w-4)-5(w-6)=x | | 167-4x=32x+19 | | 2x-5x+14-12x-27= | | -(q+14)=-3+(-14) | | 9n-22=68 |

Equations solver categories