(6x-24)(4x-1)-3x(6x-24)=0

Simple and best practice solution for (6x-24)(4x-1)-3x(6x-24)=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 (6x-24)(4x-1)-3x(6x-24)=0 equation: 


Simplifying
(6x + -24)(4x + -1) + -3x(6x + -24) = 0

Reorder the terms:
(-24 + 6x)(4x + -1) + -3x(6x + -24) = 0

Reorder the terms:
(-24 + 6x)(-1 + 4x) + -3x(6x + -24) = 0

Multiply (-24 + 6x) * (-1 + 4x)
(-24(-1 + 4x) + 6x * (-1 + 4x)) + -3x(6x + -24) = 0
((-1 * -24 + 4x * -24) + 6x * (-1 + 4x)) + -3x(6x + -24) = 0
((24 + -96x) + 6x * (-1 + 4x)) + -3x(6x + -24) = 0
(24 + -96x + (-1 * 6x + 4x * 6x)) + -3x(6x + -24) = 0
(24 + -96x + (-6x + 24x2)) + -3x(6x + -24) = 0

Combine like terms: -96x + -6x = -102x
(24 + -102x + 24x2) + -3x(6x + -24) = 0

Reorder the terms:
24 + -102x + 24x2 + -3x(-24 + 6x) = 0
24 + -102x + 24x2 + (-24 * -3x + 6x * -3x) = 0
24 + -102x + 24x2 + (72x + -18x2) = 0

Reorder the terms:
24 + -102x + 72x + 24x2 + -18x2 = 0

Combine like terms: -102x + 72x = -30x
24 + -30x + 24x2 + -18x2 = 0

Combine like terms: 24x2 + -18x2 = 6x2
24 + -30x + 6x2 = 0

Solving
24 + -30x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + -5x + x2) = 0

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

Ignore the factor 6.

Subproblem 1
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

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {1, 4}

See similar equations:

| 3xy+4x=24 | | log9(3x-4)1/2 | | 610x(1-18x)=0 | | -g(x)=9x^2 | | 7x-20=5x+10 | | 4y+-4y+6=6 | | X=6-1.2y | | 50-8=3x | | -4x-3x+6=-20 | | cos((pi*x)/2)=0 | | px^2+qx=0 | | 2x^2+16x+60=-12x | | 5x+5-2x=7 | | 24+4x+y=28+z+8y | | .5x+45=5 | | 2b-6-7b=b+3 | | 3x+4(4x-3)=22 | | 0=3h^2-16h+16 | | 3-4(2x-9)=15 | | 900/(6(5^(1/2)) | | 4y-16y+68=-12 | | x+275x=4275 | | 8=1-4x | | 3+4*2.5-0.5= | | 9n+18= | | -6x+9+8x=-6 | | X+(x*.0925)=1.50 | | (2x+4)(x+1)=0 | | 2(x+8)=4(x-3) | | ln(5)+ln(x)-ln(x+1)=ln(2) | | 2x^2-12x-108=0 | | 153/18= |

Equations solver categories