x*(x+1)=5*(x+2)-5

Simple and best practice solution for x*(x+1)=5*(x+2)-5 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+1)=5*(x+2)-5 equation:


Simplifying
x(x + 1) = 5(x + 2) + -5

Reorder the terms:
x(1 + x) = 5(x + 2) + -5
(1 * x + x * x) = 5(x + 2) + -5
(1x + x2) = 5(x + 2) + -5

Reorder the terms:
1x + x2 = 5(2 + x) + -5
1x + x2 = (2 * 5 + x * 5) + -5
1x + x2 = (10 + 5x) + -5

Reorder the terms:
1x + x2 = 10 + -5 + 5x

Combine like terms: 10 + -5 = 5
1x + x2 = 5 + 5x

Solving
1x + x2 = 5 + 5x

Solving for variable 'x'.

Reorder the terms:
-5 + 1x + -5x + x2 = 5 + 5x + -5 + -5x

Combine like terms: 1x + -5x = -4x
-5 + -4x + x2 = 5 + 5x + -5 + -5x

Reorder the terms:
-5 + -4x + x2 = 5 + -5 + 5x + -5x

Combine like terms: 5 + -5 = 0
-5 + -4x + x2 = 0 + 5x + -5x
-5 + -4x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -4x + x2 = 0

Factor a trinomial.
(-1 + -1x)(5 + -1x) = 0


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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-1, 5}

See similar equations:

| 1/2y^2-5/2y-18=0 | | (4p-3)(7p-3)= | | x^2-2x-79=0 | | 6.0x10^5/3.9x10^-2 | | h=-16t^2+116t+39 | | -x^2+24x-95=0 | | 2p^2+7p=-5 | | -9+8g-14=9 | | 8(4a-1)= | | 2w-6w-48=-12 | | 8c+-8=3c+4 | | h/3-h-4/6=5/6 | | 5.6+2=4.6 | | 2x-4x=20 | | 6b^3(4b+5)= | | -x^2+20x-19=0 | | 6v+30=6 | | 19.6(x-15.42)=66.64 | | 5(u+7)-u=7 | | 5x^3y+10x^2y^2-120xy^3=0 | | log(4x-3)+log(x+5)=1 | | y1/3*y3/2 | | 3x^9+21x^8+36x^7=0 | | 3(c+4)=5(c+6) | | (n+2)(4n+6)= | | 3(a+2)=9a | | 2.4(m-3)+3.8=-8.1 | | 0=-(1/3)^0 | | 3/a=9/a+2 | | 0=(1/3)^0 | | 3x-1/4+x+3/6+3 | | 1/3(x+8)=7 |

Equations solver categories