5x(x+1)-2=8

Simple and best practice solution for 5x(x+1)-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 5x(x+1)-2=8 equation: 


Simplifying
5x(x + 1) + -2 = 8

Reorder the terms:
5x(1 + x) + -2 = 8
(1 * 5x + x * 5x) + -2 = 8
(5x + 5x2) + -2 = 8

Reorder the terms:
-2 + 5x + 5x2 = 8

Solving
-2 + 5x + 5x2 = 8

Solving for variable 'x'.

Reorder the terms:
-2 + -8 + 5x + 5x2 = 8 + -8

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

Combine like terms: 8 + -8 = 0
-10 + 5x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-2 + x + x2) = 0

Factor a trinomial.
5((-2 + -1x)(1 + -1x)) = 0

Ignore the factor 5.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
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
Solution
x = {-2, 1}

See similar equations:

| -4k=-60 | | 30=-5/3w | | 30=-5/-3w | | -8r-(9)=24 | | w^2+15w+44=0 | | 2x+12-8x=20-16x+10x-8 | | -8r-9=24 | | 18x-63x^2=0 | | -9=-c/8 | | 40=8k | | 5.6+3j=-2.3 | | 40=8l | | x+3(8x+4)=5x(4+2) | | -7/5+4/3y=-1/2 | | (y+4)(y-6)= | | 5=-5u | | 1.2b+9.4=7.4 | | 3x^2-x=x^2-x-2 | | -18=-6d | | 3+3w=-15 | | 8(w-6)=168 | | 7x-x+8=80 | | 4y-16.3=54.1 | | 216^1/3 | | (X^1/2)^2 | | 10-7b=3 | | 52-8x=44 | | 3+(5)/(x-2)=(x+1)/x | | 7(y-4)=98 | | 100=3.14(d) | | 1/2r=7407 | | x+3(8x+4)=5x(4+2x) |

Equations solver categories