x^2-5x=7.5

Simple and best practice solution for x^2-5x=7.5 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=7.5 equation: 


Simplifying
x2 + -5x = 7.5

Reorder the terms:
-5x + x2 = 7.5

Solving
-5x + x2 = 7.5

Solving for variable 'x'.

Reorder the terms:
-7.5 + -5x + x2 = 7.5 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
-7.5 + -5x + x2 = 0.0

Begin completing the square.

Move the constant term to the right:

Add '7.5' to each side of the equation.
-7.5 + -5x + 7.5 + x2 = 0.0 + 7.5

Reorder the terms:
-7.5 + 7.5 + -5x + x2 = 0.0 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + -5x + x2 = 0.0 + 7.5
-5x + x2 = 0.0 + 7.5

Combine like terms: 0.0 + 7.5 = 7.5
-5x + x2 = 7.5

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 = 7.5 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 7.5 + 6.25

Combine like terms: 7.5 + 6.25 = 13.75
6.25 + -5x + x2 = 13.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 13.75

Calculate the square root of the right side: 3.708099244

Break this problem into two subproblems by setting 
(x + -2.5) equal to 3.708099244 and -3.708099244.


Subproblem 1
x + -2.5 = 3.708099244

Simplifying
x + -2.5 = 3.708099244

Reorder the terms:
-2.5 + x = 3.708099244

Solving
-2.5 + x = 3.708099244

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 = 3.708099244 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 3.708099244 + 2.5
x = 3.708099244 + 2.5

Combine like terms: 3.708099244 + 2.5 = 6.208099244
x = 6.208099244

Simplifying
x = 6.208099244


Subproblem 2
x + -2.5 = -3.708099244

Simplifying
x + -2.5 = -3.708099244

Reorder the terms:
-2.5 + x = -3.708099244

Solving
-2.5 + x = -3.708099244

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 = -3.708099244 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -3.708099244 + 2.5
x = -3.708099244 + 2.5

Combine like terms: -3.708099244 + 2.5 = -1.208099244
x = -1.208099244

Simplifying
x = -1.208099244


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.208099244, -1.208099244}

See similar equations:

| 2x-9-27-4x=180 | | 2x^3+x^2-18x-9= | | -85=-5-5p | | -8(-3n+8)=-184 | | -5=r-2+2 | | (-6x-5)+3=-5(x+9) | | 7x-56=8 | | 3x-4+3x-4=40 | | 6b^2-6b-8=0 | | 20=r(.5)+5 | | -26=8+v | | 2.5x+4.5=y | | 1/5W-3=7 | | -n/4=-3/2 | | (x^-6y^3z^2)^-1/6x^4y^-1z^3 | | 2x+10=5x-14 | | f(x)=14-7x | | 30=15y+15 | | (L-4)+2w=298 | | 30=15y+5 | | (4/3)(3.14)(22.86) | | |8x-1/9|=3/2 | | 9x-(6x-8)=26 | | -2=0.86x | | 2n+3-5= | | 30r^2=25r | | 4x-7[2+3(x-5)+x]=0 | | -4x+(5x-6)-2(5)= | | -x/11=11.5 | | 6n+6n= | | P-17= | | 4x^2+8x-69=0 |

Equations solver categories