(2x-6)(3x-8)=0

Simple and best practice solution for (2x-6)(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 (2x-6)(3x-8)=0 equation: 


Simplifying
(2x + -6)(3x + -8) = 0

Reorder the terms:
(-6 + 2x)(3x + -8) = 0

Reorder the terms:
(-6 + 2x)(-8 + 3x) = 0

Multiply (-6 + 2x) * (-8 + 3x)
(-6(-8 + 3x) + 2x * (-8 + 3x)) = 0
((-8 * -6 + 3x * -6) + 2x * (-8 + 3x)) = 0
((48 + -18x) + 2x * (-8 + 3x)) = 0
(48 + -18x + (-8 * 2x + 3x * 2x)) = 0
(48 + -18x + (-16x + 6x2)) = 0

Combine like terms: -18x + -16x = -34x
(48 + -34x + 6x2) = 0

Solving
48 + -34x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -17x + 3x2) = 0

Factor a trinomial.
2((8 + -3x)(3 + -1x)) = 0

Ignore the factor 2.

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:

| 6x-20=-2y | | (x+10)(x-2)=0 | | 4x^2-7x+25=9x+10 | | 4-5x=2x-10-5x | | -158/x=79 | | 1/2x^2+4x+5 | | -4x^2+9x-9=0 | | 6t-12=2t+16 | | X+4=-18+3 | | 3.75a=3.9 | | 4(n+3)=5n-15 | | 6x+1=2(2x-1) | | 4s-4=2s+10 | | x^2-4x+8=9x-4 | | 2x/x2-4x | | (4x-5)(3x-5)=0 | | 3/6x+15 | | (3x-1)(2x+7)=0 | | 7x-11=2(2x-1) | | y-7/y3 | | 8/4x-12 | | (5/6)k=-20 | | 44450059688574932022933844757:3249305894758= | | n+5(n-2)=7 | | (2x+1)(3x-8)=0 | | 4x-5=3(x-1) | | 2x-7=x^3-3x^2-x+3 | | (2x+3)(3x-4)=0 | | 288=4x+88 | | x^3-3x^2-3x+10=0 | | 2.5x=22.5 | | (3a-4)(3+6)=0 |

Equations solver categories