8x^2-34x-888=0

Simple and best practice solution for 8x^2-34x-888=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^2-34x-888=0 equation: 


Simplifying
8x2 + -34x + -888 = 0

Reorder the terms:
-888 + -34x + 8x2 = 0

Solving
-888 + -34x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-444 + -17x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-444 + -17x + 4x2)' equal to zero and attempt to solve:

Simplifying
-444 + -17x + 4x2 = 0

Solving
-444 + -17x + 4x2 = 0

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

Divide each side by '4'.
-111 + -4.25x + x2 = 0

Move the constant term to the right:

Add '111' to each side of the equation.
-111 + -4.25x + 111 + x2 = 0 + 111

Reorder the terms:
-111 + 111 + -4.25x + x2 = 0 + 111

Combine like terms: -111 + 111 = 0
0 + -4.25x + x2 = 0 + 111
-4.25x + x2 = 0 + 111

Combine like terms: 0 + 111 = 111
-4.25x + x2 = 111

The x term is -4.25x.  Take half its coefficient (-2.125).
Square it (4.515625) and add it to both sides.

Add '4.515625' to each side of the equation.
-4.25x + 4.515625 + x2 = 111 + 4.515625

Reorder the terms:
4.515625 + -4.25x + x2 = 111 + 4.515625

Combine like terms: 111 + 4.515625 = 115.515625
4.515625 + -4.25x + x2 = 115.515625

Factor a perfect square on the left side:
(x + -2.125)(x + -2.125) = 115.515625

Calculate the square root of the right side: 10.747819546

Break this problem into two subproblems by setting 
(x + -2.125) equal to 10.747819546 and -10.747819546.


Subproblem 1
x + -2.125 = 10.747819546

Simplifying
x + -2.125 = 10.747819546

Reorder the terms:
-2.125 + x = 10.747819546

Solving
-2.125 + x = 10.747819546

Solving for variable 'x'.

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

Add '2.125' to each side of the equation.
-2.125 + 2.125 + x = 10.747819546 + 2.125

Combine like terms: -2.125 + 2.125 = 0.000
0.000 + x = 10.747819546 + 2.125
x = 10.747819546 + 2.125

Combine like terms: 10.747819546 + 2.125 = 12.872819546
x = 12.872819546

Simplifying
x = 12.872819546


Subproblem 2
x + -2.125 = -10.747819546

Simplifying
x + -2.125 = -10.747819546

Reorder the terms:
-2.125 + x = -10.747819546

Solving
-2.125 + x = -10.747819546

Solving for variable 'x'.

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

Add '2.125' to each side of the equation.
-2.125 + 2.125 + x = -10.747819546 + 2.125

Combine like terms: -2.125 + 2.125 = 0.000
0.000 + x = -10.747819546 + 2.125
x = -10.747819546 + 2.125

Combine like terms: -10.747819546 + 2.125 = -8.622819546
x = -8.622819546

Simplifying
x = -8.622819546


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.872819546, -8.622819546}
Solution
x = {12.872819546, -8.622819546}

See similar equations:

| 27.53=y-3.4 | | 28-(1/22)×4x=21-(1/22)×3x | | (2a-7)/(6y)=(3b-5)/(2c) | | 7x=2x+22 | | 4.05x+5.95y=637.35 | | 28-(1/22)4x=21-(1/22)3x | | 5a/2b/15a^3b^2/4b | | 2(4x)=4(3x) | | (x-2)(x^2-4x+3)= | | log*2(7x+9)=4 | | 15x^8-16x^7-4x^5+3x^4-2x^3+29x^2-15x+48=0 | | 13b-5b=120 | | (3-u)(2u-7)=0 | | 10.2=2l+2*1.3 | | 13y^2+-8y+5=48 | | 24+14d=155 | | -8-5x+6=-20x+19-5x | | a+ba-d=ef | | -1/9(9x-27y) | | -3z-2/25 | | y=(3x^4)-(17x^3)-(28x^2)-x+7 | | t=3rs-4rs+5vw | | 0=2x^2-3x+5 | | 7x/8-x=x/40-6/5 | | 6x-4/x=5 | | (3+2)+(4-3i)= | | ln(x-2)+3=0 | | f(-6)=x^2+9x+8 | | s^2+2=0 | | 5/3|7-4x|-96 | | 7x+3z=2+3y | | 5/3|7-4x-96 |

Equations solver categories