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

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


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

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

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

Multiply (-3 + x) * (8 + 3x)
(-3(8 + 3x) + x(8 + 3x)) = 0
((8 * -3 + 3x * -3) + x(8 + 3x)) = 0
((-24 + -9x) + x(8 + 3x)) = 0
(-24 + -9x + (8 * x + 3x * x)) = 0
(-24 + -9x + (8x + 3x2)) = 0

Combine like terms: -9x + 8x = -1x
(-24 + -1x + 3x2) = 0

Solving
-24 + -1x + 3x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-2.666666667, 3}

See similar equations:

| -2x^2+x+6=0 | | 25v^2+5v-42= | | 8-10x=-77+5x | | 7x+3= | | X^5-10x^3+12x=0 | | x^2+42=3x | | x^2+3x-31=-3 | | 5y-y+7y= | | 10x-2(4x-8)=20 | | 6[2-(2x-5)]=2(-3-3x) | | 6[2-(2x-4)]=2(12-3x) | | -3c+2=-10 | | 5n+40=50 | | 9a+7-4a=-33 | | k-23=-31 | | -x^2+x+4=0 | | 6x^2-28x+16=0 | | 42x^2-25=0 | | 3(2c-1)-1=3c+5 | | a=4b | | 9(x+4)=3x-24 | | -8(t+6)=0 | | 6(x+6)=12x+24 | | 5x+9=-31 | | 25-(2x+9)=2(x+3)+x | | x+19+2x=-14-2x-17 | | 20-2x=17+x | | 4x+7-9x=13-16x+11x-6 | | 9+9r-5=7r+49-3r | | -4x-11x=60 | | 2.5x+6=1.75x-8 | | 1.75x-2=.83x-4 |

Equations solver categories