4.44+5-3X-0.25X^2-3.75X=0

Simple and best practice solution for 4.44+5-3X-0.25X^2-3.75X=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 4.44+5-3X-0.25X^2-3.75X=0 equation: 


Simplifying
4.44 + 5 + -3X + -0.25X2 + -3.75X = 0

Reorder the terms:
4.44 + 5 + -3X + -3.75X + -0.25X2 = 0

Combine like terms: 4.44 + 5 = 9.44
9.44 + -3X + -3.75X + -0.25X2 = 0

Combine like terms: -3X + -3.75X = -6.75X
9.44 + -6.75X + -0.25X2 = 0

Solving
9.44 + -6.75X + -0.25X2 = 0

Solving for variable 'X'.

Begin completing the square.  Divide all terms by
-0.25 the coefficient of the squared term: 

Divide each side by '-0.25'.
-37.76 + 27X + X2 = 0

Move the constant term to the right:

Add '37.76' to each side of the equation.
-37.76 + 27X + 37.76 + X2 = 0 + 37.76

Reorder the terms:
-37.76 + 37.76 + 27X + X2 = 0 + 37.76

Combine like terms: -37.76 + 37.76 = 0.00
0.00 + 27X + X2 = 0 + 37.76
27X + X2 = 0 + 37.76

Combine like terms: 0 + 37.76 = 37.76
27X + X2 = 37.76

The X term is 27X.  Take half its coefficient (13.5).
Square it (182.25) and add it to both sides.

Add '182.25' to each side of the equation.
27X + 182.25 + X2 = 37.76 + 182.25

Reorder the terms:
182.25 + 27X + X2 = 37.76 + 182.25

Combine like terms: 37.76 + 182.25 = 220.01
182.25 + 27X + X2 = 220.01

Factor a perfect square on the left side:
(X + 13.5)(X + 13.5) = 220.01

Calculate the square root of the right side: 14.83273407

Break this problem into two subproblems by setting 
(X + 13.5) equal to 14.83273407 and -14.83273407.


Subproblem 1
X + 13.5 = 14.83273407

Simplifying
X + 13.5 = 14.83273407

Reorder the terms:
13.5 + X = 14.83273407

Solving
13.5 + X = 14.83273407

Solving for variable 'X'.

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

Add '-13.5' to each side of the equation.
13.5 + -13.5 + X = 14.83273407 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + X = 14.83273407 + -13.5
X = 14.83273407 + -13.5

Combine like terms: 14.83273407 + -13.5 = 1.33273407
X = 1.33273407

Simplifying
X = 1.33273407


Subproblem 2
X + 13.5 = -14.83273407

Simplifying
X + 13.5 = -14.83273407

Reorder the terms:
13.5 + X = -14.83273407

Solving
13.5 + X = -14.83273407

Solving for variable 'X'.

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

Add '-13.5' to each side of the equation.
13.5 + -13.5 + X = -14.83273407 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + X = -14.83273407 + -13.5
X = -14.83273407 + -13.5

Combine like terms: -14.83273407 + -13.5 = -28.33273407
X = -28.33273407

Simplifying
X = -28.33273407


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {1.33273407, -28.33273407}

See similar equations:

| 4.44+5*h-3*X-0.25*X^2-3.75*h*X=0 | | m/2-13=17 | | 6m+2=2 | | 9x^2-18x+5=0 | | 6+2=2 | | 4.44+5h-3X-0.25X^2-3.75hX=0 | | 7(y-3)=4-(3y+5) | | 10(x+14)=290 | | x^2+y^2+14y=-13 | | 3n-25=7 | | 7x+4x=55 | | 7y+3y-6-y=30 | | -8.3=y-17.9 | | 32y-y=4+1 | | 9(y-1)=45 | | 6c-22=32 | | 10.4(2a-8)=1/7(49a+70) | | y=42x-8 | | 4(2a-8)=17(49a+70) | | -4(c-3)=48 | | 5b+0=55 | | -8(4+9x)=7-(2-11x) | | 12=x+y+r | | 5b-20=35 | | 4(p-2)+7p=14 | | 34=6+4x | | y/2-3=7 | | X/4=11/16 | | 2c+4=38 | | 5y-54=36 | | -5X^2+75=60 | | 3y+2y=10 |

Equations solver categories