25x^2+22x-2=0

Simple and best practice solution for 25x^2+22x-2=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 25x^2+22x-2=0 equation: 


Simplifying
25x2 + 22x + -2 = 0

Reorder the terms:
-2 + 22x + 25x2 = 0

Solving
-2 + 22x + 25x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
25 the coefficient of the squared term: 

Divide each side by '25'.
-0.08 + 0.88x + x2 = 0

Move the constant term to the right:

Add '0.08' to each side of the equation.
-0.08 + 0.88x + 0.08 + x2 = 0 + 0.08

Reorder the terms:
-0.08 + 0.08 + 0.88x + x2 = 0 + 0.08

Combine like terms: -0.08 + 0.08 = 0.00
0.00 + 0.88x + x2 = 0 + 0.08
0.88x + x2 = 0 + 0.08

Combine like terms: 0 + 0.08 = 0.08
0.88x + x2 = 0.08

The x term is 0.88x.  Take half its coefficient (0.44).
Square it (0.1936) and add it to both sides.

Add '0.1936' to each side of the equation.
0.88x + 0.1936 + x2 = 0.08 + 0.1936

Reorder the terms:
0.1936 + 0.88x + x2 = 0.08 + 0.1936

Combine like terms: 0.08 + 0.1936 = 0.2736
0.1936 + 0.88x + x2 = 0.2736

Factor a perfect square on the left side:
(x + 0.44)(x + 0.44) = 0.2736

Calculate the square root of the right side: 0.523067873

Break this problem into two subproblems by setting 
(x + 0.44) equal to 0.523067873 and -0.523067873.


Subproblem 1
x + 0.44 = 0.523067873

Simplifying
x + 0.44 = 0.523067873

Reorder the terms:
0.44 + x = 0.523067873

Solving
0.44 + x = 0.523067873

Solving for variable 'x'.

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

Add '-0.44' to each side of the equation.
0.44 + -0.44 + x = 0.523067873 + -0.44

Combine like terms: 0.44 + -0.44 = 0.00
0.00 + x = 0.523067873 + -0.44
x = 0.523067873 + -0.44

Combine like terms: 0.523067873 + -0.44 = 0.083067873
x = 0.083067873

Simplifying
x = 0.083067873


Subproblem 2
x + 0.44 = -0.523067873

Simplifying
x + 0.44 = -0.523067873

Reorder the terms:
0.44 + x = -0.523067873

Solving
0.44 + x = -0.523067873

Solving for variable 'x'.

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

Add '-0.44' to each side of the equation.
0.44 + -0.44 + x = -0.523067873 + -0.44

Combine like terms: 0.44 + -0.44 = 0.00
0.00 + x = -0.523067873 + -0.44
x = -0.523067873 + -0.44

Combine like terms: -0.523067873 + -0.44 = -0.963067873
x = -0.963067873

Simplifying
x = -0.963067873


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.083067873, -0.963067873}

See similar equations:

| 5-6l=3l-11 | | 4(3n+.75)=5n+19 | | 6(2x-1)=q+16 | | P=6-b+c | | 4(.75q+2)=q+16 | | 3(2x+5)=5(x+2) | | x-y-5z=A | | -29=m-20 | | (3x+2)+90+(2x+3)=180 | | x-y-8=A | | 6(.666b-4)=2b+1 | | 1+log(5x)=3 | | 6(.6b-4)=2b+1 | | 9(4b-1)=2(9b-4) | | X^2-6x+9=63 | | -5y=10x | | 3(3x+4)+1=2x+34 | | 11x-6=4(3x-4) | | a+b-7=P | | 8-2p=4 | | 2=2p-8 | | 2b-7=1 | | 4+3(y+6)=6(y-1) | | 3b-2=4 | | 2s-5=3 | | 7-2(3x-5)+7x=5-3(4x-3)+2x-4 | | 6(0.5d+1)= | | 2x^2+20x=-42 | | 4+8lnx=1 | | 11x+-6=4(3x-4) | | 3-3y+1=0 | | 6x+5=7x+10 |

Equations solver categories