x^2+2x+5=50

Simple and best practice solution for x^2+2x+5=50 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+2x+5=50 equation:


Simplifying
x2 + 2x + 5 = 50

Reorder the terms:
5 + 2x + x2 = 50

Solving
5 + 2x + x2 = 50

Solving for variable 'x'.

Reorder the terms:
5 + -50 + 2x + x2 = 50 + -50

Combine like terms: 5 + -50 = -45
-45 + 2x + x2 = 50 + -50

Combine like terms: 50 + -50 = 0
-45 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '45' to each side of the equation.
-45 + 2x + 45 + x2 = 0 + 45

Reorder the terms:
-45 + 45 + 2x + x2 = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 2x + x2 = 0 + 45
2x + x2 = 0 + 45

Combine like terms: 0 + 45 = 45
2x + x2 = 45

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = 45 + 1

Reorder the terms:
1 + 2x + x2 = 45 + 1

Combine like terms: 45 + 1 = 46
1 + 2x + x2 = 46

Factor a perfect square on the left side:
(x + 1)(x + 1) = 46

Calculate the square root of the right side: 6.782329983

Break this problem into two subproblems by setting 
(x + 1) equal to 6.782329983 and -6.782329983.

Subproblem 1

x + 1 = 6.782329983 Simplifying x + 1 = 6.782329983 Reorder the terms: 1 + x = 6.782329983 Solving 1 + x = 6.782329983 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 6.782329983 + -1 Combine like terms: 1 + -1 = 0 0 + x = 6.782329983 + -1 x = 6.782329983 + -1 Combine like terms: 6.782329983 + -1 = 5.782329983 x = 5.782329983 Simplifying x = 5.782329983

Subproblem 2

x + 1 = -6.782329983 Simplifying x + 1 = -6.782329983 Reorder the terms: 1 + x = -6.782329983 Solving 1 + x = -6.782329983 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -6.782329983 + -1 Combine like terms: 1 + -1 = 0 0 + x = -6.782329983 + -1 x = -6.782329983 + -1 Combine like terms: -6.782329983 + -1 = -7.782329983 x = -7.782329983 Simplifying x = -7.782329983

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.782329983, -7.782329983}

See similar equations:

| 4x+20=280 | | 3(1-6n)=-141 | | 0.3*432.60= | | 6b+5b=-11 | | (x^2+5x-3)-(4x+1)=x^2-13 | | 11n^2=-9n+5 | | c=0.25b+8.5 | | x+7+2x-14=90 | | 1463*(90-x)=435(x-25) | | x=y/23 | | x+7+2x-14=180 | | -14=-23-x/3 | | 5(x-3)+55=3x | | c=38.25+0.25x | | -6=-r+2r | | (4x^2+4x+4)-(4x^2-5)=6x-8 | | c=38.25+.25x | | 2(u-4)-4=-3(-3u+2)-3u | | 11=-2-4v+1 | | 6(-2x+1)-3x=66 | | C/11 | | 693/4= | | 6r+17=1.2 | | n^2-10n-5=-8 | | 12=n+23 | | 2(3-4x)=4+4(6x) | | 2x+18+10+5x=0 | | 9=-4x+x | | M+3(m*4)=16 | | n^2-2n-16=8 | | (7x^2+5x+2)-(7x^2+5)=8x+11 | | 8-2n=-32 |

Equations solver categories