(x+5)(x-2)=8

Simple and best practice solution for (x+5)(x-2)=8 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+5)(x-2)=8 equation:


Simplifying
(x + 5)(x + -2) = 8

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

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

Multiply (5 + x) * (-2 + x)
(5(-2 + x) + x(-2 + x)) = 8
((-2 * 5 + x * 5) + x(-2 + x)) = 8
((-10 + 5x) + x(-2 + x)) = 8
(-10 + 5x + (-2 * x + x * x)) = 8
(-10 + 5x + (-2x + x2)) = 8

Combine like terms: 5x + -2x = 3x
(-10 + 3x + x2) = 8

Solving
-10 + 3x + x2 = 8

Solving for variable 'x'.

Reorder the terms:
-10 + -8 + 3x + x2 = 8 + -8

Combine like terms: -10 + -8 = -18
-18 + 3x + x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-18 + 3x + x2 = 0

Factor a trinomial.
(-6 + -1x)(3 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-6, 3}

See similar equations:

| x=3x+1/4x | | 7x-3/10=x+10/4-1 | | 12-2x=4x | | 6=3-3x | | 60-4x=2x | | f(6)=6(6)+5 | | y^2-3x-6y+8=0 | | 53x=54x-2 | | (x-4)-(2x+5)=0 | | 5.5x+64=30.25+8x | | 3x^4-12x^2-4=0 | | -8/4=x | | 2(w+3)(w-1)-w(w+3)=150 | | 1/3(-6)=x | | 3/7(-14)=x | | w^2+7w-156=0 | | 8x^4+6x+12=0 | | 4.3+x/4=-2.1 | | 17x-35=8 | | y=0-(-5) | | 3x-15=10-6x | | x^6-7x^5= | | (3x^6/(x^2-9))*((x^2+6x+9)/(9x^7)) | | 1x-.3x= | | -1-(-8)=x | | 3y^2-12y-96= | | 3/4+6x=13/4-7x | | 5/8-9/20 | | 12y^2+15y=0 | | 5*1/5 | | 5x1/5 | | 10b-5(8b-2)=100 |

Equations solver categories