(3x-3)(6x+8)=0

Simple and best practice solution for (3x-3)(6x+8)=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 (3x-3)(6x+8)=0 equation: 


Simplifying
(3x + -3)(6x + 8) = 0

Reorder the terms:
(-3 + 3x)(6x + 8) = 0

Reorder the terms:
(-3 + 3x)(8 + 6x) = 0

Multiply (-3 + 3x) * (8 + 6x)
(-3(8 + 6x) + 3x * (8 + 6x)) = 0
((8 * -3 + 6x * -3) + 3x * (8 + 6x)) = 0
((-24 + -18x) + 3x * (8 + 6x)) = 0
(-24 + -18x + (8 * 3x + 6x * 3x)) = 0
(-24 + -18x + (24x + 18x2)) = 0

Combine like terms: -18x + 24x = 6x
(-24 + 6x + 18x2) = 0

Solving
-24 + 6x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + x + 3x2) = 0

Factor a trinomial.
6((-4 + -3x)(1 + -1x)) = 0

Ignore the factor 6.

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 '(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 = {-1.333333333, 1}

See similar equations:

| 75=50+125(m-12) | | 0.5(5d+4)=6 | | 20=7u+6 | | 4(k-2)=(k-9) | | 9x^2+33x+18= | | 66-u=173 | | -5+7m-20=20-2m | | 8wh+5h=12 | | 10-(3V-1)=5(9-V) | | 9a-7a=3a-33+2a | | -5x+-7+1=-5x-5 | | -3x+4z=2m | | 200a^2-80a+8=0 | | 20/y=1 | | -4p+8=-7p+17 | | 6r-5=1+8r-24 | | -3x+7x+35=5x+38 | | 4x+0.25=4+0.5x | | 3(x-4)-7=4x+9 | | -15-5y=20 | | 6p+5=9p | | -7(b+7)=-35 | | 1/6x-9=2/4 | | -18+5x=72x-1 | | 3x-4=4(x-10) | | −3=7(y−9/7) | | 16x^2-8xy+y^2=0 | | 5x+-8x=15 | | 5n-3n=12-2 | | -8(8p+2)+p=(p+3)+5 | | Kx+8y=62 | | w^2+14w+33=0 |

Equations solver categories