0=x^2+5x+2

Simple and best practice solution for 0=x^2+5x+2 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 0=x^2+5x+2 equation: 


Simplifying
0 = x2 + 5x + 2

Reorder the terms:
0 = 2 + 5x + x2

Solving
0 = 2 + 5x + x2

Solving for variable 'x'.

Combine like terms: 0 + -2 = -2
-2 + -5x + -1x2 = 2 + 5x + x2 + -2 + -5x + -1x2

Reorder the terms:
-2 + -5x + -1x2 = 2 + -2 + 5x + -5x + x2 + -1x2

Combine like terms: 2 + -2 = 0
-2 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2
-2 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
-2 + -5x + -1x2 = 0 + x2 + -1x2
-2 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -5x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 5x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(2 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
2 + 5x + x2 = 0

Solving
2 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 5x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 5x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x + x2 = 0 + -2
5x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
5x + x2 = -2

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 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -2 + 6.25

Combine like terms: -2 + 6.25 = 4.25
6.25 + 5x + x2 = 4.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 4.25

Calculate the square root of the right side: 2.061552813

Break this problem into two subproblems by setting 
(x + 2.5) equal to 2.061552813 and -2.061552813.


Subproblem 1
x + 2.5 = 2.061552813

Simplifying
x + 2.5 = 2.061552813

Reorder the terms:
2.5 + x = 2.061552813

Solving
2.5 + x = 2.061552813

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 = 2.061552813 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 2.061552813 + -2.5
x = 2.061552813 + -2.5

Combine like terms: 2.061552813 + -2.5 = -0.438447187
x = -0.438447187

Simplifying
x = -0.438447187


Subproblem 2
x + 2.5 = -2.061552813

Simplifying
x + 2.5 = -2.061552813

Reorder the terms:
2.5 + x = -2.061552813

Solving
2.5 + x = -2.061552813

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 = -2.061552813 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -2.061552813 + -2.5
x = -2.061552813 + -2.5

Combine like terms: -2.061552813 + -2.5 = -4.561552813
x = -4.561552813

Simplifying
x = -4.561552813


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.438447187, -4.561552813}
Solution
x = {-0.438447187, -4.561552813}

See similar equations:

| 16x-40=84x+10 | | 2(x-1)=8x-7-6x | | 6-7y=-9 | | Xy+z=yforx | | 37746892-7646891098652-679329762= | | 0.05x+0.08+0.06x=0.07x+.68 | | 1.5x+.3(3)=.2(3+x) | | -3(x-2)=-2x-2 | | 1.50x+19.00=2.25x+15.00 | | (4x-1)(8x+9)=0 | | Ln(x+2)=13 | | Ln(x+2)=13 | | Ln(x+2)=13 | | (3+v)(5v+1)=0 | | y=-7x+23 | | 56-42x+8x=158 | | 9y+y=9y-3 | | 5(3x+5)-(15x+7)=18 | | 6x=6x+2 | | X^2-4x-2=-5 | | 3x-12x-15=0 | | 3x-.04=2.06 | | 8(x+3)-8=4x+4(4+x) | | 8x-2=2(4x-1) | | 4(x-3)=8x-7-4x | | 2x-5y=9slope | | 2w^2+2w-60=0 | | 11x+9=3x+9 | | 4(8n-1)+9=8(4n+8) | | 4x-(8x+2)=14-4x | | 6.75t+5=15.5t+12 | | 75.6=2.2 |

Equations solver categories