6x^2+8=20x-8

Simple and best practice solution for 6x^2+8=20x-8 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 6x^2+8=20x-8 equation: 


Simplifying
6x2 + 8 = 20x + -8

Reorder the terms:
8 + 6x2 = 20x + -8

Reorder the terms:
8 + 6x2 = -8 + 20x

Solving
8 + 6x2 = -8 + 20x

Solving for variable 'x'.

Reorder the terms:
8 + 8 + -20x + 6x2 = -8 + 20x + 8 + -20x

Combine like terms: 8 + 8 = 16
16 + -20x + 6x2 = -8 + 20x + 8 + -20x

Reorder the terms:
16 + -20x + 6x2 = -8 + 8 + 20x + -20x

Combine like terms: -8 + 8 = 0
16 + -20x + 6x2 = 0 + 20x + -20x
16 + -20x + 6x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
16 + -20x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -10x + 3x2) = 0

Factor a trinomial.
2((4 + -3x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {1.333333333, 2}

See similar equations:

| 7x-3x+4=4 | | -3n+4= | | (w+11)(w-9)= | | 7x-3x-4=4 | | 4(3x-2)=7(x-1)+3 | | y^2+20+36=0 | | 1x^2-5x-1=0 | | 3/4x=39 | | 16x-4x=48 | | (3x-2)(x^2-5x+6)= | | 5-9=51 | | 3/4x^2-15/4x=0 | | 2(3x+1)=4 | | 3/4x-1=11 | | -4(6-7x)=50 | | 1.8t+3.6= | | 2(5x)=100 | | 7+3x=70 | | 4x6-(5x7/1) | | 3x-6+8x=x+8-x | | 2y^2-3=-5y | | 5/-3 | | (6+6x)*(6+6x)=0 | | 5g+4[-5+3g]=1-g | | 5g+5(-5+3g)=1-g | | 14m+8m=6-60 | | 30+=220 | | 3x+5+6x=36 | | V=2v+3u | | 4x-7x+1/2-2/5=7/6 | | 13=3y-17 | | n*3*n-4/2 |

Equations solver categories