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

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


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

Reorder the terms:
4x(-6 + x) = 3(6 + -1x)
(-6 * 4x + x * 4x) = 3(6 + -1x)
(-24x + 4x2) = 3(6 + -1x)
-24x + 4x2 = (6 * 3 + -1x * 3)
-24x + 4x2 = (18 + -3x)

Solving
-24x + 4x2 = 18 + -3x

Solving for variable 'x'.

Reorder the terms:
-18 + -24x + 3x + 4x2 = 18 + -3x + -18 + 3x

Combine like terms: -24x + 3x = -21x
-18 + -21x + 4x2 = 18 + -3x + -18 + 3x

Reorder the terms:
-18 + -21x + 4x2 = 18 + -18 + -3x + 3x

Combine like terms: 18 + -18 = 0
-18 + -21x + 4x2 = 0 + -3x + 3x
-18 + -21x + 4x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-18 + -21x + 4x2 = 0

Factor a trinomial.
(-3 + -4x)(6 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-0.75, 6}

See similar equations:

| -5(z+7)=-4z-9 | | 6y+10-3y=9+2y-4 | | 7n-5=10+13 | | 8(x-6)-(4-9x)=16x | | 5x-5=10n+13 | | x^2-11x+5.25=0 | | 10x+7x=17x | | 2x+3y-100=0 | | 4x+27=3x+3y | | 7(x+8)+2(6x-7)=18(x+3)-5 | | 10x^2-34x+12=0 | | 10x+6-x=36 | | 3(q-2)=5q-7-2q | | 5(y-8)=9y-8 | | -3x^2y+12xy+36y=0 | | -3x^2y+12xy=36y | | x^2+12x-85=0 | | 8m-6=10 | | -1.8-5y-2.6-2y=-6-3.4 | | 6+3u=-12 | | 4x+15-10=35 | | 4(w-5)=3(1+w) | | -5(p-1)=-p+29 | | -15z=-11 | | -15z=11 | | 4(w-1)=3(1+w) | | -x+7-6x=29-3x | | -3(-6-8v)=3v-3 | | 5(3x-1)-3(2x-3)=8x+4 | | (7y-4)+2y= | | -6+5u= | | -39+5n=6(2n-6)-3 |

Equations solver categories