(x+8)(x-2)=24

Simple and best practice solution for (x+8)(x-2)=24 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+8)(x-2)=24 equation: 


Simplifying
(x + 8)(x + -2) = 24

Reorder the terms:
(8 + x)(x + -2) = 24

Reorder the terms:
(8 + x)(-2 + x) = 24

Multiply (8 + x) * (-2 + x)
(8(-2 + x) + x(-2 + x)) = 24
((-2 * 8 + x * 8) + x(-2 + x)) = 24
((-16 + 8x) + x(-2 + x)) = 24
(-16 + 8x + (-2 * x + x * x)) = 24
(-16 + 8x + (-2x + x2)) = 24

Combine like terms: 8x + -2x = 6x
(-16 + 6x + x2) = 24

Solving
-16 + 6x + x2 = 24

Solving for variable 'x'.

Reorder the terms:
-16 + -24 + 6x + x2 = 24 + -24

Combine like terms: -16 + -24 = -40
-40 + 6x + x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-40 + 6x + x2 = 0

Factor a trinomial.
(-10 + -1x)(4 + -1x) = 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 '(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
Solution
x = {-10, 4}

See similar equations:

| -20=22 | | 5x+11-2x+4=-6x-31 | | -3-21=16 | | 2(k+4)+3=15 | | -5x-14=-8x+4 | | -2h=10+3h | | 7x^2+8x-44=0 | | 9x+9-3-2x=2(2x+4) | | 2x+42=3x+6 | | 3(X-2)-2=7 | | -8+6k=5k | | 33=3c | | 104-(-168)= | | 15=y-5 | | (3.2*1)+(0.2*y)=2.0*(1+y) | | (2x-5)+(3x-50)=180 | | 12-(z+3)=10 | | 12m=164-50 | | (3.2*x)+(0.2*y)=2.0*(x+y) | | 8+3(2x-9)=180 | | 6x-4y=12x | | -2-4x=7-x | | 4(2x+6)=5(x+5)+8 | | -78=6r | | 121+59+y=180 | | -2(1x+1)=-2x+5 | | 8X+6=100 | | 2(5x+9)=(10-3y)i | | 7x+2x-3y= | | 0.8a-6=-0.6a+220.8a-6equals | | 6x-8x+5=2x+8+7 | | 10=26+8m |

Equations solver categories