(x*x)+5x=2.75

Simple and best practice solution for (x*x)+5x=2.75 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*x)+5x=2.75 equation: 


Simplifying
(x * x) + 5x = 2.75

Multiply x * x
(x2) + 5x = 2.75
x2 + 5x = 2.75

Reorder the terms:
5x + x2 = 2.75

Solving
5x + x2 = 2.75

Solving for variable 'x'.

Reorder the terms:
-2.75 + 5x + x2 = 2.75 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
-2.75 + 5x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '2.75' to each side of the equation.
-2.75 + 5x + 2.75 + x2 = 0.00 + 2.75

Reorder the terms:
-2.75 + 2.75 + 5x + x2 = 0.00 + 2.75

Combine like terms: -2.75 + 2.75 = 0.00
0.00 + 5x + x2 = 0.00 + 2.75
5x + x2 = 0.00 + 2.75

Combine like terms: 0.00 + 2.75 = 2.75
5x + x2 = 2.75

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 = 2.75 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 2.75 + 6.25

Combine like terms: 2.75 + 6.25 = 9
6.25 + 5x + x2 = 9

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 9

Calculate the square root of the right side: 3

Break this problem into two subproblems by setting 
(x + 2.5) equal to 3 and -3.


Subproblem 1
x + 2.5 = 3

Simplifying
x + 2.5 = 3

Reorder the terms:
2.5 + x = 3

Solving
2.5 + x = 3

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 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 3 + -2.5
x = 3 + -2.5

Combine like terms: 3 + -2.5 = 0.5
x = 0.5

Simplifying
x = 0.5


Subproblem 2
x + 2.5 = -3

Simplifying
x + 2.5 = -3

Reorder the terms:
2.5 + x = -3

Solving
2.5 + x = -3

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 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -3 + -2.5
x = -3 + -2.5

Combine like terms: -3 + -2.5 = -5.5
x = -5.5

Simplifying
x = -5.5


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.5, -5.5}

See similar equations:

| z^2+15+24=32 | | 3x+2=2x-1 | | (7n-1/8)=8 | | -33=-3r | | 3x+1=5x+15 | | 5a^2=26a+14 | | 1.5x+x=180 | | 21=6-4x | | t+24=-2 | | -5(t-4)-(t+6)=10 | | 0.25(X+2)-2=0.5 | | -33=3r | | -1.9-x=x+0.1 | | z^2-15z+54=0 | | 8x+24=36+2 | | (4d+5/7)=7 | | 32x^5+243=0 | | 6q=6 | | 6q=3 | | 18x^2-5x-7=0 | | 20z=15z | | (c/4)=34 | | .11*5= | | 4*6+1= | | 7+3x=1+9 | | (4t-5)=2(t+1)+2 | | 26x^2+9x-2=0 | | 2*(x+2)*3-4=-2*(x+8) | | 12a+3=2-a | | 32000+2000=42000+1000x | | 3x-15x=0 | | 2(n-2)=3(n+6) |

Equations solver categories