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

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


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

Reorder the terms:
6x(-6 + x) = (2x + 7)(x + -6)
(-6 * 6x + x * 6x) = (2x + 7)(x + -6)
(-36x + 6x2) = (2x + 7)(x + -6)

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

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

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

Combine like terms: 7x + -12x = -5x
-36x + 6x2 = (-42 + -5x + 2x2)

Solving
-36x + 6x2 = -42 + -5x + 2x2

Solving for variable 'x'.

Reorder the terms:
42 + -36x + 5x + 6x2 + -2x2 = -42 + -5x + 2x2 + 42 + 5x + -2x2

Combine like terms: -36x + 5x = -31x
42 + -31x + 6x2 + -2x2 = -42 + -5x + 2x2 + 42 + 5x + -2x2

Combine like terms: 6x2 + -2x2 = 4x2
42 + -31x + 4x2 = -42 + -5x + 2x2 + 42 + 5x + -2x2

Reorder the terms:
42 + -31x + 4x2 = -42 + 42 + -5x + 5x + 2x2 + -2x2

Combine like terms: -42 + 42 = 0
42 + -31x + 4x2 = 0 + -5x + 5x + 2x2 + -2x2
42 + -31x + 4x2 = -5x + 5x + 2x2 + -2x2

Combine like terms: -5x + 5x = 0
42 + -31x + 4x2 = 0 + 2x2 + -2x2
42 + -31x + 4x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
42 + -31x + 4x2 = 0

Factor a trinomial.
(7 + -4x)(6 + -1x) = 0


Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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 = {1.75, 6}

See similar equations:

| 7x-4=13x+12 | | -8/3b=-2 | | -3+5x=4 | | 3n=4n | | 12xy=24y | | 75=5(3x-3) | | (3p-7)+(5p-7)= | | 4x-1=9+x | | -5+13y+8=14+15y-21 | | sqrt(x)=16 | | (-3)(-3)+4[18+(12-20)]= | | 4=2(2x-4) | | -5+2x=6 | | 19=3g+1 | | 136=4(5x+4) | | 6+4u=10 | | 4x-20+x+50=180 | | 4x-40+60= | | 5+s=6 | | 8x-14=-5x+12 | | 48=2(5x+4) | | 2x+3+x+6=90 | | 3k-11=5 | | 6x=20-x+4 | | 2y+14x=28 | | 5t^2+7t-8=0 | | 5x/7-8=10 | | 3m-2=2m-1 | | 16=2+2d | | 9x+1-3x=7x-9+x | | a+5=3a-5 | | 128=4(5x+2) |

Equations solver categories