x^2+45x+2.5=0

Simple and best practice solution for x^2+45x+2.5=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+45x+2.5=0 equation:


Simplifying
x2 + 45x + 2.5 = 0

Reorder the terms:
2.5 + 45x + x2 = 0

Solving
2.5 + 45x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + 45x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + 45x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 45x + x2 = 0 + -2.5
45x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
45x + x2 = -2.5

The x term is 45x.  Take half its coefficient (22.5).
Square it (506.25) and add it to both sides.

Add '506.25' to each side of the equation.
45x + 506.25 + x2 = -2.5 + 506.25

Reorder the terms:
506.25 + 45x + x2 = -2.5 + 506.25

Combine like terms: -2.5 + 506.25 = 503.75
506.25 + 45x + x2 = 503.75

Factor a perfect square on the left side:
(x + 22.5)(x + 22.5) = 503.75

Calculate the square root of the right side: 22.444375687

Break this problem into two subproblems by setting 
(x + 22.5) equal to 22.444375687 and -22.444375687.


Subproblem 1
x + 22.5 = 22.444375687

Simplifying
x + 22.5 = 22.444375687

Reorder the terms:
22.5 + x = 22.444375687

Solving
22.5 + x = 22.444375687

Solving for variable 'x'.

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

Add '-22.5' to each side of the equation.
22.5 + -22.5 + x = 22.444375687 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + x = 22.444375687 + -22.5
x = 22.444375687 + -22.5

Combine like terms: 22.444375687 + -22.5 = -0.055624313
x = -0.055624313

Simplifying
x = -0.055624313


Subproblem 2
x + 22.5 = -22.444375687

Simplifying
x + 22.5 = -22.444375687

Reorder the terms:
22.5 + x = -22.444375687

Solving
22.5 + x = -22.444375687

Solving for variable 'x'.

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

Add '-22.5' to each side of the equation.
22.5 + -22.5 + x = -22.444375687 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + x = -22.444375687 + -22.5
x = -22.444375687 + -22.5

Combine like terms: -22.444375687 + -22.5 = -44.944375687
x = -44.944375687

Simplifying
x = -44.944375687


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.055624313, -44.944375687}

See similar equations:

| (11m+8)-(2m-9)= | | (-5)(-16)= | | -29-14= | | (4y-7)+(-2y-7)= | | -83+(-55)= | | а^2-16b^2/4ab/(1/4b-1/a) | | (x+2)+(7x+1)= | | 2x+181+12=185 | | x^4-6x+4=0 | | 7x+5-6x=11 | | n+8=9-3n | | 7x^3+5x^3= | | 3x+11-8x=13-18x+13x-2 | | -12+32=-4(x+9) | | 2z-9=4z-3 | | 17x-7=11x-13 | | 5xy-7y=1 | | x^2+7x-69=0 | | y=8(2.333333333+y)-7 | | 14x+5-4x+9= | | y-5/8=7/14 | | 4/9n=1/3 | | X+28=45 | | 7a+2-7a= | | 2/3(6x-15)=12 | | x^4-6x^3-8x^2+96x-120=0 | | 7x/20-(5x+4)/4+28/10+(1-x)/4=-1/4 | | 9x^3+8x^3= | | e^2x-1=e^3 | | x/0.7=5 | | -2(y+3)+4y=(3y+1)-6 | | 13+x=32 |

Equations solver categories