.25x^2+x-2=0

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


Simplifying
0.25x2 + x + -2 = 0

Reorder the terms:
-2 + x + 0.25x2 = 0

Solving
-2 + x + 0.25x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.25'.
-8 + 4x + x2 = 0

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + 4x + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + 4x + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 4x + x2 = 0 + 8
4x + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
4x + x2 = 8

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
4x + 0.25 + x2 = 8 + 0.25

Reorder the terms:
0.25 + 4x + x2 = 8 + 0.25

Combine like terms: 8 + 0.25 = 8.25
0.25 + 4x + x2 = 8.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 8.25

Calculate the square root of the right side: 2.872281323

Break this problem into two subproblems by setting 
(x + 0.5) equal to 2.872281323 and -2.872281323.


Subproblem 1
x + 0.5 = 2.872281323

Simplifying
x + 0.5 = 2.872281323

Reorder the terms:
0.5 + x = 2.872281323

Solving
0.5 + x = 2.872281323

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 2.872281323 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 2.872281323 + -0.5
x = 2.872281323 + -0.5

Combine like terms: 2.872281323 + -0.5 = 2.372281323
x = 2.372281323

Simplifying
x = 2.372281323


Subproblem 2
x + 0.5 = -2.872281323

Simplifying
x + 0.5 = -2.872281323

Reorder the terms:
0.5 + x = -2.872281323

Solving
0.5 + x = -2.872281323

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -2.872281323 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -2.872281323 + -0.5
x = -2.872281323 + -0.5

Combine like terms: -2.872281323 + -0.5 = -3.372281323
x = -3.372281323

Simplifying
x = -3.372281323


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.372281323, -3.372281323}

See similar equations:

| 16x^2+6-13=0 | | 4(31+5)+3(21-7)= | | 18x^2-48x+45=0 | | 4(3y+5)+3(2y-7)= | | n+q=40 | | -21+-6k=3 | | 63in=ft | | 9/7y-2=25 | | -108=-6(7p+4) | | 63in= | | 2(6x^2-24x+25)=0 | | 2e1/4 | | y=5(3)+8 | | -4x+9y=36 | | 4(h+2)-(h-9)=-2(h-1) | | 1/2x-6=1 | | -4y+9y=36 | | 8y+7=7y-5 | | -.4[x-3.8]=-2 | | (ln)*x+(ln)*(x+2)=2 | | X^2*-13x^2=114 | | 49-(2x+4)=4(x+6)+x | | X^4-5x^2-2=0 | | X^2*-13x=114 | | 12u-3u=54 | | 0=t(-4.9t+25t) | | 0=-16t^2+150t+5 | | 3y+6x=45 | | -5(x-2)+3=6(x-4) | | -0.4[x-3.8]=-2 | | 4x+3(3x-11)=19 | | Y-1=-2/3x--2 |

Equations solver categories