4x(x+2)=2x+10

Simple and best practice solution for 4x(x+2)=2x+10 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 4x(x+2)=2x+10 equation: 


Simplifying
4x(x + 2) = 2x + 10

Reorder the terms:
4x(2 + x) = 2x + 10
(2 * 4x + x * 4x) = 2x + 10
(8x + 4x2) = 2x + 10

Reorder the terms:
8x + 4x2 = 10 + 2x

Solving
8x + 4x2 = 10 + 2x

Solving for variable 'x'.

Reorder the terms:
-10 + 8x + -2x + 4x2 = 10 + 2x + -10 + -2x

Combine like terms: 8x + -2x = 6x
-10 + 6x + 4x2 = 10 + 2x + -10 + -2x

Reorder the terms:
-10 + 6x + 4x2 = 10 + -10 + 2x + -2x

Combine like terms: 10 + -10 = 0
-10 + 6x + 4x2 = 0 + 2x + -2x
-10 + 6x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 6x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 3x + 2x2) = 0

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

Ignore the factor 2.

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

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 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 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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 = {-2.5, 1}

See similar equations:

| 9p^2-40q^2= | | 16x-x^2=0 | | X*X+8+3X+6= | | 16x^2-24xy+9y^2= | | 10x+1=2(3x+5) | | (4x-5)(x^2-6x+1)= | | x+.66x=130 | | 4x^3-2x^2-12= | | 3n^2-2=n^2+6 | | d-6pie=-pie | | x(5+x)=0 | | 100+2x=600 | | 4y-dy=5 | | -44+10a^2-2a= | | 2[3+7(4)]= | | 0.45x+.05(4-x)=.10(18) | | 5x+x^2=0 | | 6n^2+17n-28=0 | | 7-7m-3m=-3 | | 7b+4(b+2)=3b+8 | | -8m+35=-7(m-6) | | 3x-7=2-(2x+6) | | 12m+20=2(3m+4) | | 15m^2=13m+20 | | 7(4p+7)-6p=49 | | 5k+16=-3k+8(5k+2) | | 6pi=x+2y | | 4(5x+6)=44 | | 6pye=x+2y | | x+ab-1=-1 | | 3x+2y=-4 | | 12y-2(4y-6)=28 |

Equations solver categories