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

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


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

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

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

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

Combine like terms: -8x + -9x = -17x
(24 + -17x + 3x2) = 0

Solving
24 + -17x + 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:

| F(x)=4x^4-3x^3+6x^2+3 | | -3(m-3)=7m+39 | | r+x=r | | 6x^3=-6 | | (3x+5)+(6x-2)= | | 8x+10-3x=8 | | 9s-5s=16 | | 7-n=7(1+3n) | | -2x+0.3=2 | | -29=6+5u | | 3x(32/4)=29 | | 2(5)=23+5 | | -4+4y=-20 | | 4=7+w | | -4+4y=20 | | (a+3)(a+8)=0 | | 3x+2(x+5)=74 | | 5u+13=113 | | 2x+3(x+5)=74 | | -9-9b=8 | | 14p-8=22+22p | | -66=6-8v | | 11y-6y=40 | | 19.95+0.21x=24.95+0.16 | | 43=-x+3(1-3x) | | T=PV-nR | | 14x-7+8x+10x=360 | | 2/5/3/15 | | 5x+70=-3x-10 | | Sp=3/100*840 | | 0.02+0.7=0.72 | | 5g-4g=12 |

Equations solver categories