x(x+5)+2(x+5)=0

Simple and best practice solution for x(x+5)+2(x+5)=0 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(x+5)+2(x+5)=0 equation:


Simplifying
x(x + 5) + 2(x + 5) = 0

Reorder the terms:
x(5 + x) + 2(x + 5) = 0
(5 * x + x * x) + 2(x + 5) = 0
(5x + x2) + 2(x + 5) = 0

Reorder the terms:
5x + x2 + 2(5 + x) = 0
5x + x2 + (5 * 2 + x * 2) = 0
5x + x2 + (10 + 2x) = 0

Reorder the terms:
10 + 5x + 2x + x2 = 0

Combine like terms: 5x + 2x = 7x
10 + 7x + x2 = 0

Solving
10 + 7x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + x)(2 + x) = 0

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-5, -2}

See similar equations:

| 4x+7=-35-3x | | 10-1/2u | | -3y-5x=-11 | | 3m+2=62 | | z+(-71)=-98 | | 9x^2+33x-12= | | -3x-5-1=y | | 411=8x+251 | | 3y=-3x-3 | | z/100=0.07 | | 3x^2-11x-14= | | 4*x^(1/2)*(2/x) | | -4y(-82)= | | y=8x+251 | | 4x-5+2=y | | 0=16t^2+2304 | | x-10+2x-10+2x=180 | | -10(-3k)= | | 2j-5=-83 | | 6n-6=-240 | | 9+u=-8 | | 15(-y+26)+7.5y=360 | | 7(-8m)= | | 8(4r+2)+16= | | x^(-9/5)=0 | | 2+3x=-4+x | | 12+z=30 | | (3x-7)=2x+9 | | -12-8=x | | 15(-y+26)+7.5=360 | | (4+5i)(4-5i)=0 | | y=-0.05x^2+0.5x |

Equations solver categories