2x(-1-x)=2x+4

Simple and best practice solution for 2x(-1-x)=2x+4 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(-1-x)=2x+4 equation:


Simplifying
2x(-1 + -1x) = 2x + 4
(-1 * 2x + -1x * 2x) = 2x + 4
(-2x + -2x2) = 2x + 4

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

Solving
-2x + -2x2 = 4 + 2x

Solving for variable 'x'.

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

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

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

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

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

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

Ignore the factor -2.

Subproblem 1
Set the factor '(2 + 2x + x2)' equal to zero and attempt to solve:

Simplifying
2 + 2x + x2 = 0

Solving
2 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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 = -2 + 1

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

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

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

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.

The solution to this equation could not be determined.

See similar equations:

| .6x=.5 | | 7x+15=3x+23 | | 3(7x+1)=192 | | -4x+8=71+3x | | x+(-11y)+(-7x)+15y= | | 12=4-2(x-10) | | 5x-4=2+14 | | 3x^2yz(x^2-2y+3z^2)=0 | | -7x-6=-x+0 | | 2+7x=-6x-50 | | 1x+(-11y)+(-7x)+15y= | | 5k^2-2k-3=0 | | 5x/6+3=10/9-2x/18 | | 6y+3z=-6 | | 4x+3=7x+0 | | 2+x+5x=-58 | | 8y+y=-72 | | 66=2x+4x+6 | | 3x-3+5x=2x | | -1-x-2x=-4 | | 2x+5=-19 | | 8x^2-17=0 | | -2y+10=-2(3y+3) | | 4x-3+x=3x+7 | | 8+27k^3=0 | | -5z+1/2=18 | | 4x+6/7=3x | | 75=3s+9c | | 9a^2=0 | | (25/4)x=16/625 | | x+9=-3x+25 | | 2x-15x^2+3xy= |

Equations solver categories