5x(x+1)=6x

Simple and best practice solution for 5x(x+1)=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 5x(x+1)=6x equation: 


Simplifying
5x(x + 1) = 6x

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

Solving
5x + 5x2 = 6x

Solving for variable 'x'.

Reorder the terms:
5x + -6x + 5x2 = 6x + -6x

Combine like terms: 5x + -6x = -1x
-1x + 5x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-1x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 5x) = 0


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 '(-1 + 5x)' equal to zero and attempt to solve:

Simplifying
-1 + 5x = 0

Solving
-1 + 5x = 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 + 5x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 0 + 1
5x = 0 + 1

Combine like terms: 0 + 1 = 1
5x = 1

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {0, 0.2}

See similar equations:

| 2x+5=-30-3x | | 24.6*6.21*.00004= | | 7x^4-5x^2=0 | | X-5/9=1-x/5 | | 50=(3x+6)+(7x-18) | | 7b=8+2b+7b | | 8y-10=3y+20 | | 0.01=3*x/5.196 | | (x+7)/4=8-(5/6)x | | 22-14=2(x-4) | | -1/2=-4/3y-9/5 | | 212-14=2(x-4) | | 2(2+6x)=14x-8 | | sin(2x)8x=0.1 | | sin(2x)8x=0.000001 | | 4p-4p=11 | | 7x=19-(-2) | | sin(2x)8x=0 | | x^8/a^2x^2 | | 1+log(8x)=22-2logx | | 30a=42 | | 3logX=6-2X | | x*6-71=x*3-5 | | -6N+2=-10 | | .129=.14x+.09(1-x) | | 6*7+3=x | | 7(x+2)=x-10 | | -y+y=-8 | | -4N-1=3 | | 3N+100=250 | | 2overc+2+5overc^2-4= | | -8N=512 |

Equations solver categories