x(x+2)-5(2x-4)=2x

Simple and best practice solution for x(x+2)-5(2x-4)=2x 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+2)-5(2x-4)=2x equation:


Simplifying
x(x + 2) + -5(2x + -4) = 2x

Reorder the terms:
x(2 + x) + -5(2x + -4) = 2x
(2 * x + x * x) + -5(2x + -4) = 2x
(2x + x2) + -5(2x + -4) = 2x

Reorder the terms:
2x + x2 + -5(-4 + 2x) = 2x
2x + x2 + (-4 * -5 + 2x * -5) = 2x
2x + x2 + (20 + -10x) = 2x

Reorder the terms:
20 + 2x + -10x + x2 = 2x

Combine like terms: 2x + -10x = -8x
20 + -8x + x2 = 2x

Solving
20 + -8x + x2 = 2x

Solving for variable 'x'.

Reorder the terms:
20 + -8x + -2x + x2 = 2x + -2x

Combine like terms: -8x + -2x = -10x
20 + -10x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -10x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + -10x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -10x + x2 = 0 + -20
-10x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
-10x + x2 = -20

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -20 + 25

Reorder the terms:
25 + -10x + x2 = -20 + 25

Combine like terms: -20 + 25 = 5
25 + -10x + x2 = 5

Factor a perfect square on the left side:
(x + -5)(x + -5) = 5

Calculate the square root of the right side: 2.236067978

Break this problem into two subproblems by setting 
(x + -5) equal to 2.236067978 and -2.236067978.

Subproblem 1

x + -5 = 2.236067978 Simplifying x + -5 = 2.236067978 Reorder the terms: -5 + x = 2.236067978 Solving -5 + x = 2.236067978 Solving for variable 'x'. 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 = 2.236067978 + 5 Combine like terms: -5 + 5 = 0 0 + x = 2.236067978 + 5 x = 2.236067978 + 5 Combine like terms: 2.236067978 + 5 = 7.236067978 x = 7.236067978 Simplifying x = 7.236067978

Subproblem 2

x + -5 = -2.236067978 Simplifying x + -5 = -2.236067978 Reorder the terms: -5 + x = -2.236067978 Solving -5 + x = -2.236067978 Solving for variable 'x'. 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 = -2.236067978 + 5 Combine like terms: -5 + 5 = 0 0 + x = -2.236067978 + 5 x = -2.236067978 + 5 Combine like terms: -2.236067978 + 5 = 2.763932022 x = 2.763932022 Simplifying x = 2.763932022

Solution

The solution to the problem is based on the solutions from the subproblems. x = {7.236067978, 2.763932022}

See similar equations:

| 8n=8/3 | | 14b-4b-5b-4b+2b=15 | | 16u-8u-2u=18 | | -7+k=-2k+2k | | 4(7j+2)=10 | | 2/7d-2=3d-4.7142857143 | | 3z-38=z-2 | | 3w-10+4w=9w-20 | | 3+8m=3(2m)-1 | | A+10=6 | | 19+17j=9j+10v-19 | | 5v^2+27v+28= | | 2/5n=100 | | (6x+22)+(x+37)+69+85=180 | | 57=3 | | 0.8x-3.5(x-1)=17 | | 3x-7y-10=0 | | 2x+x-7=15 | | 18+12+10v=11v+19 | | 2x+7-x=5-(x-8) | | 44-x=29 | | 4z+3(5-z)=-(z-4)+1 | | 6(x+5)=4(3x-15) | | 8n+-103=15n+75 | | 0.154= | | 20w=19w+8 | | 3z+2y-x=16 | | Z-2=3z-38 | | 10-6x+x=50 | | 10(0)=18-6x | | 5+7a+8=16+6a | | 2.1+t=2.25 |

Equations solver categories