x^2-9x=15.75

Simple and best practice solution for x^2-9x=15.75 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^2-9x=15.75 equation: 


Simplifying
x2 + -9x = 15.75

Reorder the terms:
-9x + x2 = 15.75

Solving
-9x + x2 = 15.75

Solving for variable 'x'.

Reorder the terms:
-15.75 + -9x + x2 = 15.75 + -15.75

Combine like terms: 15.75 + -15.75 = 0.00
-15.75 + -9x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '15.75' to each side of the equation.
-15.75 + -9x + 15.75 + x2 = 0.00 + 15.75

Reorder the terms:
-15.75 + 15.75 + -9x + x2 = 0.00 + 15.75

Combine like terms: -15.75 + 15.75 = 0.00
0.00 + -9x + x2 = 0.00 + 15.75
-9x + x2 = 0.00 + 15.75

Combine like terms: 0.00 + 15.75 = 15.75
-9x + x2 = 15.75

The x term is -9x.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9x + 20.25 + x2 = 15.75 + 20.25

Reorder the terms:
20.25 + -9x + x2 = 15.75 + 20.25

Combine like terms: 15.75 + 20.25 = 36
20.25 + -9x + x2 = 36

Factor a perfect square on the left side:
(x + -4.5)(x + -4.5) = 36

Calculate the square root of the right side: 6

Break this problem into two subproblems by setting 
(x + -4.5) equal to 6 and -6.


Subproblem 1
x + -4.5 = 6

Simplifying
x + -4.5 = 6

Reorder the terms:
-4.5 + x = 6

Solving
-4.5 + x = 6

Solving for variable 'x'.

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

Add '4.5' to each side of the equation.
-4.5 + 4.5 + x = 6 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + x = 6 + 4.5
x = 6 + 4.5

Combine like terms: 6 + 4.5 = 10.5
x = 10.5

Simplifying
x = 10.5


Subproblem 2
x + -4.5 = -6

Simplifying
x + -4.5 = -6

Reorder the terms:
-4.5 + x = -6

Solving
-4.5 + x = -6

Solving for variable 'x'.

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

Add '4.5' to each side of the equation.
-4.5 + 4.5 + x = -6 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + x = -6 + 4.5
x = -6 + 4.5

Combine like terms: -6 + 4.5 = -1.5
x = -1.5

Simplifying
x = -1.5


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.5, -1.5}

See similar equations:

| 2x-2y=24 | | 3x-1=5x+1 | | 0.6(x+1)+0.2(6-x)=x-0.6 | | 2x^/ | | f(x)=3x^2-18x+5 | | 20=x+14 | | 7-(2z-8)=3-3z | | -9(y+6)=-8y-1 | | 5x=800 | | 13(v+2)-4v=3(3v+4)-13 | | d^2-14d+49=100 | | 14.13=x-4.25 | | 14.1+x=43.9 | | -9=6z-11 | | 14.1+x=43.8 | | (w-12)*(w-12)=36 | | 6=.2+11 | | .4x+x=110 | | -1+4x=6x-7 | | x+x+1=0 | | x/6=5/21 | | 2x(2xy+3y)= | | 2*x^2+3x=4 | | 2+4x=2x+20 | | |9x-8/2|=9 | | 78=-6(8-7a) | | x-2/20=-1 | | 2-x=5x-10 | | g(x)=4x^2-27x-40 | | (2c-5)(3c-7)= | | -7/2z=-14 | | 1/3x=-55/6 |

Equations solver categories