8(x-1)(3x+1)=0

Simple and best practice solution for 8(x-1)(3x+1)=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 8(x-1)(3x+1)=0 equation: 


Simplifying
8(x + -1)(3x + 1) = 0

Reorder the terms:
8(-1 + x)(3x + 1) = 0

Reorder the terms:
8(-1 + x)(1 + 3x) = 0

Multiply (-1 + x) * (1 + 3x)
8(-1(1 + 3x) + x(1 + 3x)) = 0
8((1 * -1 + 3x * -1) + x(1 + 3x)) = 0
8((-1 + -3x) + x(1 + 3x)) = 0
8(-1 + -3x + (1 * x + 3x * x)) = 0
8(-1 + -3x + (1x + 3x2)) = 0

Combine like terms: -3x + 1x = -2x
8(-1 + -2x + 3x2) = 0
(-1 * 8 + -2x * 8 + 3x2 * 8) = 0
(-8 + -16x + 24x2) = 0

Solving
-8 + -16x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-1 + -2x + 3x2) = 0

Factor a trinomial.
8((-1 + -3x)(1 + -1x)) = 0

Ignore the factor 8.

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

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-0.3333333333, 1}

See similar equations:

| 9x+3.1=5x-9.5 | | 25=-3x-2 | | 3-4n=-5+8n | | t+.5t=t+t-5 | | 4x+4+3x-4=14 | | 2(b-8)=-22 | | 6-2n=10x+18 | | x+0.25x=64.00 | | 14=-(p-x) | | 4x-3.7=8x-2.1 | | 2/3x3= | | 2x+4y+4x+24=42 | | .09x/5=365 | | 50=6x-x+5 | | 2(3b+4)=5b+1 | | 9/7n=18 | | 64/343 | | 7x-8+3x-5=8x+9 | | -8(1+11x)=-4(2-8x) | | 5-[12-(4-7)]= | | (1/2x^4)(16x^5) | | -(1-3m)=-19 | | 7=5X+8 | | 5+n=3(-4+6n) | | Z=ab+2 | | 100x+1=1001 | | 6x-(4x+3)=3x-10 | | 1/2s=1.6 | | 28-p=-5(6p+6) | | Cos(x^3-x)=8x^4-1 | | 8+6x=8+8x+3+3 | | 18=-k-5k |

Equations solver categories