x^2-5x-2.5=9.25

Simple and best practice solution for x^2-5x-2.5=9.25 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^2-5x-2.5=9.25 equation: 


Simplifying
x2 + -5x + -2.5 = 9.25

Reorder the terms:
-2.5 + -5x + x2 = 9.25

Solving
-2.5 + -5x + x2 = 9.25

Solving for variable 'x'.

Reorder the terms:
-2.5 + -9.25 + -5x + x2 = 9.25 + -9.25

Combine like terms: -2.5 + -9.25 = -11.75
-11.75 + -5x + x2 = 9.25 + -9.25

Combine like terms: 9.25 + -9.25 = 0.00
-11.75 + -5x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '11.75' to each side of the equation.
-11.75 + -5x + 11.75 + x2 = 0.00 + 11.75

Reorder the terms:
-11.75 + 11.75 + -5x + x2 = 0.00 + 11.75

Combine like terms: -11.75 + 11.75 = 0.00
0.00 + -5x + x2 = 0.00 + 11.75
-5x + x2 = 0.00 + 11.75

Combine like terms: 0.00 + 11.75 = 11.75
-5x + x2 = 11.75

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 = 11.75 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 11.75 + 6.25

Combine like terms: 11.75 + 6.25 = 18
6.25 + -5x + x2 = 18

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting 
(x + -2.5) equal to 4.242640687 and -4.242640687.


Subproblem 1
x + -2.5 = 4.242640687

Simplifying
x + -2.5 = 4.242640687

Reorder the terms:
-2.5 + x = 4.242640687

Solving
-2.5 + x = 4.242640687

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 = 4.242640687 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 4.242640687 + 2.5
x = 4.242640687 + 2.5

Combine like terms: 4.242640687 + 2.5 = 6.742640687
x = 6.742640687

Simplifying
x = 6.742640687


Subproblem 2
x + -2.5 = -4.242640687

Simplifying
x + -2.5 = -4.242640687

Reorder the terms:
-2.5 + x = -4.242640687

Solving
-2.5 + x = -4.242640687

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 = -4.242640687 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -4.242640687 + 2.5
x = -4.242640687 + 2.5

Combine like terms: -4.242640687 + 2.5 = -1.742640687
x = -1.742640687

Simplifying
x = -1.742640687


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.742640687, -1.742640687}

See similar equations:

| 0=11y+7x-18 | | 5(2f-4)=7(f+3)+1 | | 3/4p+4=25 | | .375x-.333x+6=.1667 | | -y^4*y^1= | | 2x+6x+4=40 | | m/3-5=22 | | 1/2x-6=4 | | x+x/2=90 | | 191-4x=32x+23 | | -4(2y+5)-3=-4(y+8)+2y | | m^7/12(m^-1/2+3m) | | 8x^2-20y=12 | | 3x^2-9x^2= | | -7-6x=14.9x | | W=CX-H | | 3c+4=-21 | | 3x+11=3x+22 | | 3(3x+4)-4= | | (3w-6)(-2/3) | | x^2(x^2-9)-64(x^2-9)=0 | | G/-10=-1 | | 3(5y-8)-(4y+6)= | | A/7=-10 | | n+21=40 | | 3-5[2-(5y-5)]= | | 6=71-2x+5 | | 35x^2-77x+14= | | 4-2[5-(4y-5)]= | | 2x+8-4x=22-50 | | z-14=-18 | | 179-v=227 |

Equations solver categories