x(1+2x)=(5x-4)x-x

Simple and best practice solution for x(1+2x)=(5x-4)x-x 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(1+2x)=(5x-4)x-x equation: 


Simplifying
x(1 + 2x) = (5x + -4) * x + -1x
(1 * x + 2x * x) = (5x + -4) * x + -1x
(1x + 2x2) = (5x + -4) * x + -1x

Reorder the terms:
1x + 2x2 = (-4 + 5x) * x + -1x

Reorder the terms for easier multiplication:
1x + 2x2 = x(-4 + 5x) + -1x
1x + 2x2 = (-4 * x + 5x * x) + -1x
1x + 2x2 = (-4x + 5x2) + -1x

Reorder the terms:
1x + 2x2 = -4x + -1x + 5x2

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

Solving
1x + 2x2 = -5x + 5x2

Solving for variable 'x'.

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

Combine like terms: 1x + 5x = 6x
6x + 2x2 + -5x2 = -5x + 5x2 + 5x + -5x2

Combine like terms: 2x2 + -5x2 = -3x2
6x + -3x2 = -5x + 5x2 + 5x + -5x2

Reorder the terms:
6x + -3x2 = -5x + 5x + 5x2 + -5x2

Combine like terms: -5x + 5x = 0
6x + -3x2 = 0 + 5x2 + -5x2
6x + -3x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
6x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(2 + -1x) = 0

Ignore the factor 3.

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 '(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
Solution
x = {0, 2}

See similar equations:

| 6x^2+5=29 | | (-1)-x=8 | | -4x^2+32x-60=0 | | q+5=-4 | | 14-r=3 | | y-6=8 | | x^2-8x=16 | | 2(x+3)=-2(x+3) | | x^2+4*x-64=0 | | x^2-9x-18=0 | | 6x+4=118 | | -.33x=-9 | | 300x=150 | | 20x=-70 | | 52x=364 | | 2x+12=4x-4 | | 40x=800 | | -12x=-144 | | -9x=90 | | y=2x^2-9x-3 | | -4.66-x=5.5 | | X-8.6=-3.4 | | -x-13=-27 | | 15t+4=45 | | 4.3+x=-9.1 | | 17.5-x=-5.25 | | 7.5-x=-7.5 | | -x-.33=18 | | 2.3333333-x=9.5 | | -x+6=-10 | | 2.8-x=3.1 | | 10.5-x=12.7 |

Equations solver categories