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

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


Simplifying
2x(5 + x) = x2(4 + -2x) + 2x2
(5 * 2x + x * 2x) = x2(4 + -2x) + 2x2
(10x + 2x2) = x2(4 + -2x) + 2x2
10x + 2x2 = (4 * x2 + -2x * x2) + 2x2
10x + 2x2 = (4x2 + -2x3) + 2x2

Reorder the terms:
10x + 2x2 = 4x2 + 2x2 + -2x3

Combine like terms: 4x2 + 2x2 = 6x2
10x + 2x2 = 6x2 + -2x3

Solving
10x + 2x2 = 6x2 + -2x3

Solving for variable 'x'.

Combine like terms: 2x2 + -6x2 = -4x2
10x + -4x2 + 2x3 = 6x2 + -2x3 + -6x2 + 2x3

Reorder the terms:
10x + -4x2 + 2x3 = 6x2 + -6x2 + -2x3 + 2x3

Combine like terms: 6x2 + -6x2 = 0
10x + -4x2 + 2x3 = 0 + -2x3 + 2x3
10x + -4x2 + 2x3 = -2x3 + 2x3

Combine like terms: -2x3 + 2x3 = 0
10x + -4x2 + 2x3 = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(5 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
5 + -2x + x2 = 0

Solving
5 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -2x + -5 + x2 = 0 + -5

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

Combine like terms: 5 + -5 = 0
0 + -2x + x2 = 0 + -5
-2x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2x + x2 = -5

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -5 + 1

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

Combine like terms: -5 + 1 = -4
1 + -2x + x2 = -4

Factor a perfect square on the left side:
(x + -1)(x + -1) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

See similar equations:

| 2y+4y=12 | | logx=49 | | (3x-4)=5 | | 32xn=64 | | 27=19+6v | | 11x+-1+5x=6x-36 | | z^2-15x+56=0 | | 9x-5=6x+1 | | 7=8x-1 | | 84+x+12=180 | | C-9.87=-10.97 | | 3n(n-2)-2(3-n)=4(n-3) | | C-9.8=10.97 | | 3=-z | | 3t+8(2t-6)=2+1 | | 0.5n=12.5 | | 7a+8=12 | | x^2+8x-6=y | | y=30000+30000*.035*10 | | x^2-14x+3=y | | -18-20= | | -4-10+96= | | 4x+(x-1)=18 | | X^2-2x-42=0 | | lne^3x+5=11 | | -30-(-8)= | | 23e=368 | | -6+4y=3y | | 4n+21=2n+39 | | X+6-2=19 | | 2x^2-13x+5=0 | | -27-15= |

Equations solver categories