(2x-6)(3x-4)=0

Simple and best practice solution for (2x-6)(3x-4)=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-4)=0 equation: 


Simplifying
(2x + -6)(3x + -4) = 0

Reorder the terms:
(-6 + 2x)(3x + -4) = 0

Reorder the terms:
(-6 + 2x)(-4 + 3x) = 0

Multiply (-6 + 2x) * (-4 + 3x)
(-6(-4 + 3x) + 2x * (-4 + 3x)) = 0
((-4 * -6 + 3x * -6) + 2x * (-4 + 3x)) = 0
((24 + -18x) + 2x * (-4 + 3x)) = 0
(24 + -18x + (-4 * 2x + 3x * 2x)) = 0
(24 + -18x + (-8x + 6x2)) = 0

Combine like terms: -18x + -8x = -26x
(24 + -26x + 6x2) = 0

Solving
24 + -26x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -13x + 3x2) = 0

Factor a trinomial.
2((4 + -3x)(3 + -1x)) = 0

Ignore the factor 2.

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 '(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 = {1.333333333, 3}

See similar equations:

| 5+7x=46-14x | | 12x^2-28x-24=0 | | 78+8x=100+12x | | 4x^2+30x=16 | | -6x+9=13x+199 | | -9x=-10x-3 | | 3x+37=10x-19 | | y=2x+86-91xb | | -5X-9Y=20 | | 9y=8(y+11) | | (7b-5)-3(2b+1)=-4 | | 4x=-2+24 | | 5(2x-5)+2x+9=44 | | 3x^2-3x-9=0 | | -3x-3=-4x+3 | | 10x+31=8x+76 | | 7x-3y=50graph | | 7x+4x+2+6=8x+3+2x | | 7x-3y=50 | | -2(4x-8)=-6x | | -5x+y=109 | | 4x-20=7x+35 | | 4(x-2)=32 | | 25x-48=827 | | -5(x+y)=109 | | 8x+6y=42 | | 16x+39=215 | | -3(4x-4)+6x=-3x | | c=100+20x | | 10m^2-7m=0 | | 4.2x-11.8=2.9x-21.4 | | X(5x+25)=0 |

Equations solver categories