0.06x^2+1.8x-2001.26=0

Simple and best practice solution for 0.06x^2+1.8x-2001.26=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 0.06x^2+1.8x-2001.26=0 equation: 


Simplifying
0.06x2 + 1.8x + -2001.26 = 0

Reorder the terms:
-2001.26 + 1.8x + 0.06x2 = 0

Solving
-2001.26 + 1.8x + 0.06x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.06'.
-33354.33333 + 30x + x2 = 0

Move the constant term to the right:

Add '33354.33333' to each side of the equation.
-33354.33333 + 30x + 33354.33333 + x2 = 0 + 33354.33333

Reorder the terms:
-33354.33333 + 33354.33333 + 30x + x2 = 0 + 33354.33333

Combine like terms: -33354.33333 + 33354.33333 = 0.00000
0.00000 + 30x + x2 = 0 + 33354.33333
30x + x2 = 0 + 33354.33333

Combine like terms: 0 + 33354.33333 = 33354.33333
30x + x2 = 33354.33333

The x term is 30x.  Take half its coefficient (15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
30x + 225 + x2 = 33354.33333 + 225

Reorder the terms:
225 + 30x + x2 = 33354.33333 + 225

Combine like terms: 33354.33333 + 225 = 33579.33333
225 + 30x + x2 = 33579.33333

Factor a perfect square on the left side:
(x + 15)(x + 15) = 33579.33333

Calculate the square root of the right side: 183.246646163

Break this problem into two subproblems by setting 
(x + 15) equal to 183.246646163 and -183.246646163.


Subproblem 1
x + 15 = 183.246646163

Simplifying
x + 15 = 183.246646163

Reorder the terms:
15 + x = 183.246646163

Solving
15 + x = 183.246646163

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + x = 183.246646163 + -15

Combine like terms: 15 + -15 = 0
0 + x = 183.246646163 + -15
x = 183.246646163 + -15

Combine like terms: 183.246646163 + -15 = 168.246646163
x = 168.246646163

Simplifying
x = 168.246646163


Subproblem 2
x + 15 = -183.246646163

Simplifying
x + 15 = -183.246646163

Reorder the terms:
15 + x = -183.246646163

Solving
15 + x = -183.246646163

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + x = -183.246646163 + -15

Combine like terms: 15 + -15 = 0
0 + x = -183.246646163 + -15
x = -183.246646163 + -15

Combine like terms: -183.246646163 + -15 = -198.246646163
x = -198.246646163

Simplifying
x = -198.246646163


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {168.246646163, -198.246646163}

See similar equations:

| (-3a-9)+(4a+8)= | | 2(-3x+9)-18x=6 | | d=19.3/96.5 | | 5p-9p+2=30 | | 4m+6m=50 | | 4t+6=22 | | -(x+y)=2x+4 | | -15+2x+x^2= | | 750+500-1250= | | 5t^3+3t^2-20t-12=0 | | 20x^2+12y^2=60 | | -4=a+10 | | -7-8x=-x | | 36x^2-x^4=0 | | 2(6x+5)=3(4x-3) | | 4(x+6)=-44 | | 4x-8=6(2x+8) | | w-(-3)=6 | | 10=-w | | 345=75(t) | | 13x+4-9x-1= | | 2x+39+x+64=180 | | 6*8y-2.4y=-88 | | 3x+7y = 22 | | -2+p=10 | | -1=w+4 | | x+12+40=180 | | 4x+46=142 | | 2X^2-10X+800=0 | | 2x-10+76=180 | | X^2-10X+800=0 | | 55=l(10) |

Equations solver categories