7x(x-6)=(2x+6)(x-6)

Simple and best practice solution for 7x(x-6)=(2x+6)(x-6) 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 7x(x-6)=(2x+6)(x-6) equation: 


Simplifying
7x(x + -6) = (2x + 6)(x + -6)

Reorder the terms:
7x(-6 + x) = (2x + 6)(x + -6)
(-6 * 7x + x * 7x) = (2x + 6)(x + -6)
(-42x + 7x2) = (2x + 6)(x + -6)

Reorder the terms:
-42x + 7x2 = (6 + 2x)(x + -6)

Reorder the terms:
-42x + 7x2 = (6 + 2x)(-6 + x)

Multiply (6 + 2x) * (-6 + x)
-42x + 7x2 = (6(-6 + x) + 2x * (-6 + x))
-42x + 7x2 = ((-6 * 6 + x * 6) + 2x * (-6 + x))
-42x + 7x2 = ((-36 + 6x) + 2x * (-6 + x))
-42x + 7x2 = (-36 + 6x + (-6 * 2x + x * 2x))
-42x + 7x2 = (-36 + 6x + (-12x + 2x2))

Combine like terms: 6x + -12x = -6x
-42x + 7x2 = (-36 + -6x + 2x2)

Solving
-42x + 7x2 = -36 + -6x + 2x2

Solving for variable 'x'.

Reorder the terms:
36 + -42x + 6x + 7x2 + -2x2 = -36 + -6x + 2x2 + 36 + 6x + -2x2

Combine like terms: -42x + 6x = -36x
36 + -36x + 7x2 + -2x2 = -36 + -6x + 2x2 + 36 + 6x + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
36 + -36x + 5x2 = -36 + -6x + 2x2 + 36 + 6x + -2x2

Reorder the terms:
36 + -36x + 5x2 = -36 + 36 + -6x + 6x + 2x2 + -2x2

Combine like terms: -36 + 36 = 0
36 + -36x + 5x2 = 0 + -6x + 6x + 2x2 + -2x2
36 + -36x + 5x2 = -6x + 6x + 2x2 + -2x2

Combine like terms: -6x + 6x = 0
36 + -36x + 5x2 = 0 + 2x2 + -2x2
36 + -36x + 5x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
36 + -36x + 5x2 = 0

Factor a trinomial.
(6 + -5x)(6 + -1x) = 0


Subproblem 1
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

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

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

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {1.2, 6}

See similar equations:

| 16v^3+36v^2-112v= | | (3x+7)(x^2+x-2)=0 | | 2u^2-8u+6=0 | | 2xy+3z+1=o | | 8(x-3)+9=3x+5(-2+x) | | u^2-6u+2=0 | | 5y^2-10=13y+4 | | y=14x-14 | | 10A-20=4A+80 | | 3(2x+1)=2(x-2) | | 4-(2x-9)=19 | | 7.35=2*3.14*r | | 3/4p=-1/2 | | y-(14(y)^1/2)-48 | | 2-12A(-4-2)= | | 7000/x=1.75 | | -45x^2-65x-20=0 | | (7x+9)(7x-9)=0 | | 1y+20=0 | | 3ln(x+5)=6 | | -5(2t-2)+2t=7t-9 | | 18x*2-26x+15=0 | | 40+x=30+6x | | -2+11=-3(2y+7) | | C=b+0.3w | | (5v+7)(4-v)=0 | | 4x-3y+38=0 | | 1/3*t | | Y=4(2y-1/2) | | -191=7x-16 | | 2x^2-50x-120=0 | | 6+r-r^2=0 |

Equations solver categories