x^2-5.5x+7.5=0

Simple and best practice solution for x^2-5.5x+7.5=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^2-5.5x+7.5=0 equation: 


Simplifying
x2 + -5.5x + 7.5 = 0

Reorder the terms:
7.5 + -5.5x + x2 = 0

Solving
7.5 + -5.5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + -5.5x + -7.5 + x2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + -5.5x + x2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -5.5x + x2 = 0 + -7.5
-5.5x + x2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
-5.5x + x2 = -7.5

The x term is -5.5x.  Take half its coefficient (-2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
-5.5x + 7.5625 + x2 = -7.5 + 7.5625

Reorder the terms:
7.5625 + -5.5x + x2 = -7.5 + 7.5625

Combine like terms: -7.5 + 7.5625 = 0.0625
7.5625 + -5.5x + x2 = 0.0625

Factor a perfect square on the left side:
(x + -2.75)(x + -2.75) = 0.0625

Calculate the square root of the right side: 0.25

Break this problem into two subproblems by setting 
(x + -2.75) equal to 0.25 and -0.25.


Subproblem 1
x + -2.75 = 0.25

Simplifying
x + -2.75 = 0.25

Reorder the terms:
-2.75 + x = 0.25

Solving
-2.75 + x = 0.25

Solving for variable 'x'.

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

Add '2.75' to each side of the equation.
-2.75 + 2.75 + x = 0.25 + 2.75

Combine like terms: -2.75 + 2.75 = 0.00
0.00 + x = 0.25 + 2.75
x = 0.25 + 2.75

Combine like terms: 0.25 + 2.75 = 3
x = 3

Simplifying
x = 3


Subproblem 2
x + -2.75 = -0.25

Simplifying
x + -2.75 = -0.25

Reorder the terms:
-2.75 + x = -0.25

Solving
-2.75 + x = -0.25

Solving for variable 'x'.

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

Add '2.75' to each side of the equation.
-2.75 + 2.75 + x = -0.25 + 2.75

Combine like terms: -2.75 + 2.75 = 0.00
0.00 + x = -0.25 + 2.75
x = -0.25 + 2.75

Combine like terms: -0.25 + 2.75 = 2.5
x = 2.5

Simplifying
x = 2.5


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3, 2.5}

See similar equations:

| 9x+15=20x-40 | | x^2+2.5x-7.5=0 | | 3x-3(-3)=21 | | x^2-5.5x-7.5=0 | | 25x+181.25=443.75 | | (x+40)x=6000 | | y^2-3y=o | | 7(5-2x)=-49 | | 3(x-6)=2(5-2)x | | 3y+14=2y-2 | | 10(22-y)+16y=274 | | 7+5w=28 | | 18x^2-34x-4=0 | | 3x-13=2x+7 | | y=5x-14 | | 7b=50 | | 10x-3=6x+8 | | 2m-5m=m+5 | | -12x^2+6x+18=0 | | 22xy=274 | | 3x=380-4y | | 22(x+y)=274 | | 8=4y-2+6y | | 3.2y-5=3+2(1.4y)+4 | | -12=-2k+6 | | -3(6x-1)=-141 | | -12=-2k+(-3k) | | =0.5m+15 | | 9m+2=-16 | | 4x+5-6=143.56 | | -8/8+1= | | y/8+1= |

Equations solver categories