(x+4)(x+2)=80

Simple and best practice solution for (x+4)(x+2)=80 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+4)(x+2)=80 equation:


Simplifying
(x + 4)(x + 2) = 80

Reorder the terms:
(4 + x)(x + 2) = 80

Reorder the terms:
(4 + x)(2 + x) = 80

Multiply (4 + x) * (2 + x)
(4(2 + x) + x(2 + x)) = 80
((2 * 4 + x * 4) + x(2 + x)) = 80
((8 + 4x) + x(2 + x)) = 80
(8 + 4x + (2 * x + x * x)) = 80
(8 + 4x + (2x + x2)) = 80

Combine like terms: 4x + 2x = 6x
(8 + 6x + x2) = 80

Solving
8 + 6x + x2 = 80

Solving for variable 'x'.

Reorder the terms:
8 + -80 + 6x + x2 = 80 + -80

Combine like terms: 8 + -80 = -72
-72 + 6x + x2 = 80 + -80

Combine like terms: 80 + -80 = 0
-72 + 6x + x2 = 0

Factor a trinomial.
(-12 + -1x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12

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 = {-12, 6}

See similar equations:

| 3a(a-4)= | | 5x+8+6x=96 | | 1xw=5 | | 8x+14=2x-4 | | 7y(y-6)= | | -2x-1=9 | | 60h^2+280h+44= | | x^2+2x-240=0 | | 60h^2+280h+45= | | Y+3X=-2 | | 3r(5+9)= | | 1=-x-3 | | 3.9n=3 | | 7x-26=-47+4x | | 5k(9+3)= | | 3x-16=32+9x | | 2(7x-4y-3x+y)= | | 9(-6)-4(-2)=10 | | x/2+1=6 | | 5=-2x+1 | | 16(7n-9-4n)= | | 2x+2x+1=24 | | 9+t=66 | | 5r=80 | | 7x-2x=14 | | -4X-2Y=8 | | 72q^2-12q-40= | | -5x+3=-2 | | 9x-4y=10 | | Y+2X=-4 | | (x+1)(2x+5)=-1 | | x(2x-1)(x+3)= |

Equations solver categories