72=(x+2)(x-4)

Simple and best practice solution for 72=(x+2)(x-4) 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 72=(x+2)(x-4) equation: 


Simplifying
72 = (x + 2)(x + -4)

Reorder the terms:
72 = (2 + x)(x + -4)

Reorder the terms:
72 = (2 + x)(-4 + x)

Multiply (2 + x) * (-4 + x)
72 = (2(-4 + x) + x(-4 + x))
72 = ((-4 * 2 + x * 2) + x(-4 + x))
72 = ((-8 + 2x) + x(-4 + x))
72 = (-8 + 2x + (-4 * x + x * x))
72 = (-8 + 2x + (-4x + x2))

Combine like terms: 2x + -4x = -2x
72 = (-8 + -2x + x2)

Solving
72 = -8 + -2x + x2

Solving for variable 'x'.

Combine like terms: 72 + 8 = 80
80 + 2x + -1x2 = -8 + -2x + x2 + 8 + 2x + -1x2

Reorder the terms:
80 + 2x + -1x2 = -8 + 8 + -2x + 2x + x2 + -1x2

Combine like terms: -8 + 8 = 0
80 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2
80 + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
80 + 2x + -1x2 = 0 + x2 + -1x2
80 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
80 + 2x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(8 + x) = 0


Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {10, -8}

See similar equations:

| 4u+3v=-1 | | 4x-5+15=90 | | 5(4s+1)=165 | | m^2-7m+7=-5 | | 7(2l+2)=126 | | 4+3(3n-10)=1 | | h^2+14=0 | | 2(a-7)=18 | | 7z^2=3 | | x^2-2x+5=5 | | 2.4z+1.21-6.5=0.7 | | 6x^2-13x-3=-3 | | (q-5)*3=9 | | 2x^2+10x=-2x-16 | | k^2-9k+26=8 | | lg(2x-4)-1=0 | | -8x^2+18x+7=-10-9x^2 | | v^2-4v+1=-2 | | n^2-6n-13=-6 | | -2y+3y=30-26 | | 2n^2+7n=0 | | -5(t+5)=10 | | -12=5y-2y-18 | | 10p^2-8p+3=6p^2 | | n^2+7n+4=-8 | | 3x-4(2x-3)=3x-12 | | 8y=7x-10 | | 3x-7+7=47+7 | | p^2-p-51=5 | | 8x^2-33x+25=0 | | (x+3)(x-6)(x-11)=0 | | 5n^2-77=n^2+8n |

Equations solver categories