8x^2+11x+2=0

Simple and best practice solution for 8x^2+11x+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 8x^2+11x+2=0 equation:


Simplifying
8x2 + 11x + 2 = 0

Reorder the terms:
2 + 11x + 8x2 = 0

Solving
2 + 11x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
0.25 + 1.375x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + 1.375x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + 1.375x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 1.375x + x2 = 0 + -0.25
1.375x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
1.375x + x2 = -0.25

The x term is 1.375x.  Take half its coefficient (0.6875).
Square it (0.47265625) and add it to both sides.

Add '0.47265625' to each side of the equation.
1.375x + 0.47265625 + x2 = -0.25 + 0.47265625

Reorder the terms:
0.47265625 + 1.375x + x2 = -0.25 + 0.47265625

Combine like terms: -0.25 + 0.47265625 = 0.22265625
0.47265625 + 1.375x + x2 = 0.22265625

Factor a perfect square on the left side:
(x + 0.6875)(x + 0.6875) = 0.22265625

Calculate the square root of the right side: 0.471864652

Break this problem into two subproblems by setting 
(x + 0.6875) equal to 0.471864652 and -0.471864652.

Subproblem 1

x + 0.6875 = 0.471864652 Simplifying x + 0.6875 = 0.471864652 Reorder the terms: 0.6875 + x = 0.471864652 Solving 0.6875 + x = 0.471864652 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6875' to each side of the equation. 0.6875 + -0.6875 + x = 0.471864652 + -0.6875 Combine like terms: 0.6875 + -0.6875 = 0.0000 0.0000 + x = 0.471864652 + -0.6875 x = 0.471864652 + -0.6875 Combine like terms: 0.471864652 + -0.6875 = -0.215635348 x = -0.215635348 Simplifying x = -0.215635348

Subproblem 2

x + 0.6875 = -0.471864652 Simplifying x + 0.6875 = -0.471864652 Reorder the terms: 0.6875 + x = -0.471864652 Solving 0.6875 + x = -0.471864652 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6875' to each side of the equation. 0.6875 + -0.6875 + x = -0.471864652 + -0.6875 Combine like terms: 0.6875 + -0.6875 = 0.0000 0.0000 + x = -0.471864652 + -0.6875 x = -0.471864652 + -0.6875 Combine like terms: -0.471864652 + -0.6875 = -1.159364652 x = -1.159364652 Simplifying x = -1.159364652

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.215635348, -1.159364652}

See similar equations:

| -2x^2+9x-10=0 | | 11-4m=10m-17 | | 19z+6=18z-4 | | 6-22/3 | | 12=-2(-2-2z) | | (-7/3)=(1/5)v-(5/2) | | 2x^2+4x+1=10x+9 | | P+4-2(p-24)=0 | | 3*(4-5)+(9*5+3)/3 | | -8p+9=-4(5p+4)+(-3+5p) | | 8/10x=6/10 | | 6-54a^2=0 | | 24a^4b^-5/-3a^2b^3 | | 10x^2+10x-7=0 | | x+x^2-5x+5=2 | | 6d+d-5d+7-5d=0 | | 8+z/9=11 | | -8t-(-4t)= | | x^2+2x-505=0 | | 2+v/=11 | | 65=y+19 | | 4+x/4=9 | | -2r-10+8=32 | | 11x^2-x-4=0 | | (3x^2+5x-6)/(x+4) | | 5r+10/10=4r-12/4 | | 4x=1/32 | | 5x^2+10=11+7x | | x-0.15x-10.00=116.25 | | -6p=9p-11-8p | | 5r-p= | | -7q-10=32 |

Equations solver categories