(x+2)(x-6)=20

Simple and best practice solution for (x+2)(x-6)=20 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 (x+2)(x-6)=20 equation: 


Simplifying
(x + 2)(x + -6) = 20

Reorder the terms:
(2 + x)(x + -6) = 20

Reorder the terms:
(2 + x)(-6 + x) = 20

Multiply (2 + x) * (-6 + x)
(2(-6 + x) + x(-6 + x)) = 20
((-6 * 2 + x * 2) + x(-6 + x)) = 20
((-12 + 2x) + x(-6 + x)) = 20
(-12 + 2x + (-6 * x + x * x)) = 20
(-12 + 2x + (-6x + x2)) = 20

Combine like terms: 2x + -6x = -4x
(-12 + -4x + x2) = 20

Solving
-12 + -4x + x2 = 20

Solving for variable 'x'.

Reorder the terms:
-12 + -20 + -4x + x2 = 20 + -20

Combine like terms: -12 + -20 = -32
-32 + -4x + x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-32 + -4x + x2 = 0

Factor a trinomial.
(-4 + -1x)(8 + -1x) = 0


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

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-4, 8}

See similar equations:

| 5k+4+(6-2m)= | | 11.3-7.2f=3.82 | | 2t^2+5t=6t+15 | | -6(n-6)=17 | | 16(x-1)=-4(x+14) | | 2b^2-6b=b-3 | | 1/2-x+3/4=x-4 | | 4(x-9)=3x-34 | | (x-2)(8x+1)=-22(x-2) | | 3x^2+12=-2 | | 6x^3-26x^2-20=0 | | t(t+1)=42 | | x^2-4.26x+2.4=0 | | 8x^4-18x^2-4=0 | | 6x^2-29x+20= | | 3(x-5)=-24 | | 10n^2+100x+250= | | 0.06x+0.04(x+7000)= | | 10-4(x+7)=2(1-x) | | (x-8)(4x+1)=11(x-8) | | 1.16667x=140 | | v+(v-29.9)+(v+26.3)=197.1 | | 9=22-0.22Q | | P=22-0.22Q | | -7x+5= | | -3(3x-2)-(2x+3)= | | 10=15-0.15Q | | 8x^2+9x-4=0 | | 0.85x=200 | | y^3-5ay^2+6a^2y=0 | | 9=15-0.15Q | | 12a-45=0 |

Equations solver categories