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

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


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

Reorder the terms:
3x(-5 + x) = (2x + 2)(x + -5)
(-5 * 3x + x * 3x) = (2x + 2)(x + -5)
(-15x + 3x2) = (2x + 2)(x + -5)

Reorder the terms:
-15x + 3x2 = (2 + 2x)(x + -5)

Reorder the terms:
-15x + 3x2 = (2 + 2x)(-5 + x)

Multiply (2 + 2x) * (-5 + x)
-15x + 3x2 = (2(-5 + x) + 2x * (-5 + x))
-15x + 3x2 = ((-5 * 2 + x * 2) + 2x * (-5 + x))
-15x + 3x2 = ((-10 + 2x) + 2x * (-5 + x))
-15x + 3x2 = (-10 + 2x + (-5 * 2x + x * 2x))
-15x + 3x2 = (-10 + 2x + (-10x + 2x2))

Combine like terms: 2x + -10x = -8x
-15x + 3x2 = (-10 + -8x + 2x2)

Solving
-15x + 3x2 = -10 + -8x + 2x2

Solving for variable 'x'.

Reorder the terms:
10 + -15x + 8x + 3x2 + -2x2 = -10 + -8x + 2x2 + 10 + 8x + -2x2

Combine like terms: -15x + 8x = -7x
10 + -7x + 3x2 + -2x2 = -10 + -8x + 2x2 + 10 + 8x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
10 + -7x + 1x2 = -10 + -8x + 2x2 + 10 + 8x + -2x2

Reorder the terms:
10 + -7x + 1x2 = -10 + 10 + -8x + 8x + 2x2 + -2x2

Combine like terms: -10 + 10 = 0
10 + -7x + 1x2 = 0 + -8x + 8x + 2x2 + -2x2
10 + -7x + 1x2 = -8x + 8x + 2x2 + -2x2

Combine like terms: -8x + 8x = 0
10 + -7x + 1x2 = 0 + 2x2 + -2x2
10 + -7x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
10 + -7x + 1x2 = 0

Factor a trinomial.
(2 + -1x)(5 + -1x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {2, 5}

See similar equations:

| 38=8k+6 | | 3z(4z-5)=0 | | 2(2x-6)=3x+7 | | 3x-3+8=2x+2 | | 36a^2+23a-3= | | 16x^2+48x-14=0 | | 9x+18+10x-8=180 | | 54=5x+4 | | 13x+8=7x-8 | | e^3x-4=22 | | 4/5x-3(3/4) | | R-21=52 | | P=(2x+6) | | 7y-22=12y-7 | | ln(5x)=Ln(36-x^2) | | y--3=4/9(x--8) | | 10x-3=5x-38 | | y+x^2=-5x | | 3(-4)-4y=24 | | 7x^4-28x^4=0 | | 4.50+2.50p=12 | | -25x^2-81=90x | | log*2x=1.5 | | 299/130 | | 6x+7=12-3 | | 8+2b-(5b+1)-(2b+6)= | | 4=14.5+1.5a | | (6+5i)(3-2i)=0 | | b=14.5+1.5a | | 3r=6/7 | | w(w+7)(w-18)=0 | | b=19.5+1.5a+-5 |

Equations solver categories