4x(x+6)=6x

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


Simplifying
4x(x + 6) = 6x

Reorder the terms:
4x(6 + x) = 6x
(6 * 4x + x * 4x) = 6x
(24x + 4x2) = 6x

Solving
24x + 4x2 = 6x

Solving for variable 'x'.

Reorder the terms:
24x + -6x + 4x2 = 6x + -6x

Combine like terms: 24x + -6x = 18x
18x + 4x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
18x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(9 + 2x) = 0

Ignore the factor 2.

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 '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5

Solution

x = {0, -4.5}

See similar equations:

| 1+6=28 | | (4-2n)= | | -2+4x=30 | | 12x^2+14x+4=0 | | 17b=425 | | 20-9b+b^2= | | 6(x+6)=8x | | (2+3n)= | | -6x-5=-59 | | -6x-5=59 | | 4x-1=-33 | | 4-2n= | | -3y=-19x+144 | | 0.1(x+80)+0.2=14 | | x^2-8x+21=0 | | -3y=-19x+114 | | 125+19683= | | 125-19683= | | 103(4-x)+134x=505 | | 4x^2+12x+4=0 | | 4n+5+5n=3n+7n+8 | | 16xy^2-25x=0 | | 5(x+9)+6=21 | | 6(t+4)=54 | | n-52=(-3/2)(18+9) | | 8-5x=-8+5x | | 64-6x=0 | | 5-T=14 | | 64-6x=16 | | (-4/3)(33+n)=12+n | | 150x=100(5-x) | | (x+3)(y+6)= |

Equations solver categories