5x(x-2)=3x

Simple and best practice solution for 5x(x-2)=3x 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-2)=3x equation: 


Simplifying
5x(x + -2) = 3x

Reorder the terms:
5x(-2 + x) = 3x
(-2 * 5x + x * 5x) = 3x
(-10x + 5x2) = 3x

Solving
-10x + 5x2 = 3x

Solving for variable 'x'.

Reorder the terms:
-10x + -3x + 5x2 = 3x + -3x

Combine like terms: -10x + -3x = -13x
-13x + 5x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-13x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-13 + 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 '(-13 + 5x)' equal to zero and attempt to solve:

Simplifying
-13 + 5x = 0

Solving
-13 + 5x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 5x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 0 + 13
5x = 0 + 13

Combine like terms: 0 + 13 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6
Solution
x = {0, 2.6}

See similar equations:

| 5x-3(x-2)=30-3(x+2) | | 15*x=333 | | w+23=-18 | | 30/x=15 | | f(p)=3125-5p^2 | | N+27=33 | | 2v+12=8v | | 18=2t+16t^2 | | d=2t+16t^2 | | x^2+2ix-7=0 | | 2w+tq=k | | (8x-9)(4x+8)=0 | | 0=3ln(2x+3) | | f(x)=3ln(2x+3) | | 3x+85=12x-14 | | f(x)=3ln(2x-3) | | 12(z-8)=60 | | 21x-5=5(4x+4)-15 | | 4(x+3)-7=-5(x-1)+9 | | 500=100x-.5x^2-40x+500 | | 9(1-4a)=-24 | | 5x^2(x-2)=3x | | 3u-4=-25 | | 2n-19=19 | | 2+(7+y)=10 | | 17+3u=-16 | | 11-2x=-7+11 | | 7x+174=5x+184 | | 17+2u=-16 | | r^4+3r^2+r=0 | | (x+6)+5=13 | | -7+1r=11 |

Equations solver categories