x^2+32x+11=0

Simple and best practice solution for x^2+32x+11=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 x^2+32x+11=0 equation:


Simplifying
x2 + 32x + 11 = 0

Reorder the terms:
11 + 32x + x2 = 0

Solving
11 + 32x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 32x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + 32x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 32x + x2 = 0 + -11
32x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
32x + x2 = -11

The x term is 32x.  Take half its coefficient (16).
Square it (256) and add it to both sides.

Add '256' to each side of the equation.
32x + 256 + x2 = -11 + 256

Reorder the terms:
256 + 32x + x2 = -11 + 256

Combine like terms: -11 + 256 = 245
256 + 32x + x2 = 245

Factor a perfect square on the left side:
(x + 16)(x + 16) = 245

Calculate the square root of the right side: 15.652475842

Break this problem into two subproblems by setting 
(x + 16) equal to 15.652475842 and -15.652475842.

Subproblem 1

x + 16 = 15.652475842 Simplifying x + 16 = 15.652475842 Reorder the terms: 16 + x = 15.652475842 Solving 16 + x = 15.652475842 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 15.652475842 + -16 Combine like terms: 16 + -16 = 0 0 + x = 15.652475842 + -16 x = 15.652475842 + -16 Combine like terms: 15.652475842 + -16 = -0.347524158 x = -0.347524158 Simplifying x = -0.347524158

Subproblem 2

x + 16 = -15.652475842 Simplifying x + 16 = -15.652475842 Reorder the terms: 16 + x = -15.652475842 Solving 16 + x = -15.652475842 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = -15.652475842 + -16 Combine like terms: 16 + -16 = 0 0 + x = -15.652475842 + -16 x = -15.652475842 + -16 Combine like terms: -15.652475842 + -16 = -31.652475842 x = -31.652475842 Simplifying x = -31.652475842

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.347524158, -31.652475842}

See similar equations:

| 3x+12=20-x | | 8+5(x-8)=10-5(x-5) | | 10-32x5/9 | | 7+2x=21-5x | | 6=4(x-2)-(x-5) | | 3(y)+2(x)=132 | | -1+[4+(-5)+(-2)]= | | h(t)=-4.9t^2+28t+2 | | 15x^2-65x-50=0 | | 2-x=-4 | | 2w+2h+1=p | | -19y/21*3/7y | | 12x^4+86x^2+9x+90=0 | | 8+5(x-2)=8-6(x-8) | | 13a=-14b | | 5(1-2x)=4(2-3x) | | w^2=7(w-5) | | 2k+23=43 | | z/9+69=74 | | 2y^3-128y= | | 16y-4=30-y | | t^2-3t+40=0 | | -2(9x^2)= | | 4x+6y=170 | | n-3-9n= | | 50=8(x+2)+2 | | 3(r-6)+2=4 | | g/18+418=439 | | 42=v/5+34 | | -40-6d=24 | | 10K-K=27 | | -5d=20+10 |

Equations solver categories