8x^2+72x+128=0

Simple and best practice solution for 8x^2+72x+128=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+72x+128=0 equation: 


Simplifying
8x2 + 72x + 128 = 0

Reorder the terms:
128 + 72x + 8x2 = 0

Solving
128 + 72x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(16 + 9x + x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(16 + 9x + x2)' equal to zero and attempt to solve:

Simplifying
16 + 9x + x2 = 0

Solving
16 + 9x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 9x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + 9x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 9x + x2 = 0 + -16
9x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
9x + x2 = -16

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = -16 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -16 + 20.25

Combine like terms: -16 + 20.25 = 4.25
20.25 + 9x + x2 = 4.25

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = 4.25

Calculate the square root of the right side: 2.061552813

Break this problem into two subproblems by setting 
(x + 4.5) equal to 2.061552813 and -2.061552813.


Subproblem 1
x + 4.5 = 2.061552813

Simplifying
x + 4.5 = 2.061552813

Reorder the terms:
4.5 + x = 2.061552813

Solving
4.5 + x = 2.061552813

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = 2.061552813 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = 2.061552813 + -4.5
x = 2.061552813 + -4.5

Combine like terms: 2.061552813 + -4.5 = -2.438447187
x = -2.438447187

Simplifying
x = -2.438447187


Subproblem 2
x + 4.5 = -2.061552813

Simplifying
x + 4.5 = -2.061552813

Reorder the terms:
4.5 + x = -2.061552813

Solving
4.5 + x = -2.061552813

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = -2.061552813 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = -2.061552813 + -4.5
x = -2.061552813 + -4.5

Combine like terms: -2.061552813 + -4.5 = -6.561552813
x = -6.561552813

Simplifying
x = -6.561552813


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-2.438447187, -6.561552813}
Solution
x = {-2.438447187, -6.561552813}

See similar equations:

| 18x-5=3(4x-2) | | 18x^3+4x^2+10x= | | 4(3x+5)-2=2x-4(x-1) | | 18x^3-18x^2+10x= | | 8x^2+72x=#8722;128 | | 6(x-5)+9=-3 | | (8t^3+5t)-(-8t^3-9t+8)= | | 4.1x+3=3.1x | | 7+2(4x-4)=5 | | -0.5r=4 | | -7n=-52 | | 232=138-v | | 5x+10=z | | 15-9n=12 | | (3n-2)(2n+1)=0 | | .622699x=1 | | 6+8n=19+7n | | 8n^2+16n+22=0 | | -4+v/3=-2 | | x^2-18=-5x | | z^2-13z+40=0 | | .5x+2=-0.75x-1 | | -3x-5=8x+12 | | 3p-8+4=12+5p | | 5n-8=-2+4n | | 1=ln(-x)+ln(x+7) | | 27x^3-64x=0 | | x=-1.5y | | e^5x-2=7 | | x=-1.75+.25y | | -7-2c=-c | | 3(m+2)=3m+6 |

Equations solver categories