4x(x+6)-x=5x

Simple and best practice solution for 4x(x+6)-x=5x 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)-x=5x equation:


Simplifying
4x(x + 6) + -1x = 5x

Reorder the terms:
4x(6 + x) + -1x = 5x
(6 * 4x + x * 4x) + -1x = 5x
(24x + 4x2) + -1x = 5x

Reorder the terms:
24x + -1x + 4x2 = 5x

Combine like terms: 24x + -1x = 23x
23x + 4x2 = 5x

Solving
23x + 4x2 = 5x

Solving for variable 'x'.

Reorder the terms:
23x + -5x + 4x2 = 5x + -5x

Combine like terms: 23x + -5x = 18x
18x + 4x2 = 5x + -5x

Combine like terms: 5x + -5x = 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:

| -3(x-4)= | | 6x-5=3(6+2x) | | 6y=10+y | | (2x-5)(4x+4)=0 | | -6b=-2ab | | 10(3-w)+7=-7(w-3)-4 | | 3X^2+20X-1775=0 | | 50y+10=360 | | 11x-13=7x-10 | | 12x-4=8x+6 | | 94-5x=13x+16x | | -138-8x=9x+5 | | 208-4x=32x+24 | | 9+y=2y | | 9-7x=61-21x | | 3x+12=6x+-9 | | 6x+31=14x-35 | | a+3=5 | | 5x+10=87-6 | | 5ax(x-5a)=b(x-b) | | 4x+28=12x-6 | | 4+11x=114+7 | | -2(2x-5)=10 | | 4x+8=24+2x | | 10x^2+9x+2=0 | | X=(x^2)-2x+(y^2) | | Y=(x^2)-2x+(y^2) | | 6n^2+2n-5828= | | 6x^2+12x-6=0 | | 3x+12=6x-9 | | 3x+12=6x+9 | | 5(2t-4)=-2(10t-5t) |

Equations solver categories