x(3-4x)=4x(3-4x)

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


Simplifying
x(3 + -4x) = 4x(3 + -4x)
(3 * x + -4x * x) = 4x(3 + -4x)
(3x + -4x2) = 4x(3 + -4x)
3x + -4x2 = (3 * 4x + -4x * 4x)
3x + -4x2 = (12x + -16x2)

Solving
3x + -4x2 = 12x + -16x2

Solving for variable 'x'.

Reorder the terms:
3x + -12x + -4x2 + 16x2 = 12x + -16x2 + -12x + 16x2

Combine like terms: 3x + -12x = -9x
-9x + -4x2 + 16x2 = 12x + -16x2 + -12x + 16x2

Combine like terms: -4x2 + 16x2 = 12x2
-9x + 12x2 = 12x + -16x2 + -12x + 16x2

Reorder the terms:
-9x + 12x2 = 12x + -12x + -16x2 + 16x2

Combine like terms: 12x + -12x = 0
-9x + 12x2 = 0 + -16x2 + 16x2
-9x + 12x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-9x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-3 + 4x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-3 + 4x)' equal to zero and attempt to solve:

Simplifying
-3 + 4x = 0

Solving
-3 + 4x = 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 + 4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 0 + 3
4x = 0 + 3

Combine like terms: 0 + 3 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {0, 0.75}

See similar equations:

| x-1450=734 | | .333p-.375p=3 | | x+235=-200 | | .333p-.375p=5 | | (8x^2-4x+6)(5x+5)= | | 1p-8p=5 | | -1/3=-3/2 | | (5x^2-2x-5)(3x+9)= | | x-32=-15 | | -7c+9=c-1 | | 17c+9=c-1 | | x+30=-15 | | x-128=-132 | | x+28=-15 | | 18+(5*73)+7*(7+23)= | | x+27=35 | | .75x=50000 | | 3p-10=23 | | 5x-7=21 | | x+23=-15 | | 11a+2b= | | 2x-7+8x-3=4x+6x+10 | | -8y+6=-9-7y | | x-48=6 | | 5(x+2)-(5x+10)=0 | | 4x+2=10x-1 | | 80*6x=45+32*4x+23x | | (3x+1)(2x-4)-x(6x-7)=0 | | 32=48t+16t^2 | | .25(16x-20)=.5(10x-8) | | 6y-2x=24 | | 5t+5=-2-7t |

Equations solver categories