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

Simple and best practice solution for 720=(x+6)(2x-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 720=(x+6)(2x-6) equation: 


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

Reorder the terms:
720 = (6 + x)(2x + -6)

Reorder the terms:
720 = (6 + x)(-6 + 2x)

Multiply (6 + x) * (-6 + 2x)
720 = (6(-6 + 2x) + x(-6 + 2x))
720 = ((-6 * 6 + 2x * 6) + x(-6 + 2x))
720 = ((-36 + 12x) + x(-6 + 2x))
720 = (-36 + 12x + (-6 * x + 2x * x))
720 = (-36 + 12x + (-6x + 2x2))

Combine like terms: 12x + -6x = 6x
720 = (-36 + 6x + 2x2)

Solving
720 = -36 + 6x + 2x2

Solving for variable 'x'.

Combine like terms: 720 + 36 = 756
756 + -6x + -2x2 = -36 + 6x + 2x2 + 36 + -6x + -2x2

Reorder the terms:
756 + -6x + -2x2 = -36 + 36 + 6x + -6x + 2x2 + -2x2

Combine like terms: -36 + 36 = 0
756 + -6x + -2x2 = 0 + 6x + -6x + 2x2 + -2x2
756 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
756 + -6x + -2x2 = 0 + 2x2 + -2x2
756 + -6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
756 + -6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(378 + -3x + -1x2) = 0

Factor a trinomial.
2((18 + -1x)(21 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

Subproblem 2
Set the factor '(21 + x)' equal to zero and attempt to solve:

Simplifying
21 + x = 0

Solving
21 + x = 0

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

Add '-21' to each side of the equation.
21 + -21 + x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + x = 0 + -21
x = 0 + -21

Combine like terms: 0 + -21 = -21
x = -21

Simplifying
x = -21
Solution
x = {18, -21}

See similar equations:

| x-7=x+27 | | x^6-13x^2=-12 | | x^2-2kx+x-3k+7=0 | | 5/12=x/100 | | 2x+6.8=22.6 | | 8(x+4)=2(x+40) | | 18x+42y=126 | | 4(x-4)=19-3x | | 6x-3=117-9x | | 8a^2+11=0 | | 193=67y | | x+5+x=29 | | 15y-5=31-y | | 9x+6=4x+51 | | 67x*6899y=567578 | | X^2/3*(90-5x)^1/3 | | 3n-4-n=2+6n-1 | | 6+5q-(3q+3)-(5q+8)= | | 4(y-5)-3y=2 | | x+x-5=29 | | (90-5x)^1/3 | | 6x-2=4x-9 | | p=5k+5y | | 14=(3.14)*s | | 14=2*(3.14)*r | | 25=y-9 | | y*-6=-30 | | 5v-17=48 | | 5(x-3)-3=30 | | .27(c^2)-c+.27=0 | | 13w+26=0 | | -9n+16=-7n-2 |

Equations solver categories