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

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


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

Reorder the terms:
(-1 + 2x)(x + -2) = (1 + -2x)(x + 2)

Reorder the terms:
(-1 + 2x)(-2 + x) = (1 + -2x)(x + 2)

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

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

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

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

Combine like terms: 1x + -4x = -3x
2 + -5x + 2x2 = (2 + -3x + -2x2)

Add '-2' to each side of the equation.
2 + -5x + -2 + 2x2 = 2 + -3x + -2 + -2x2

Reorder the terms:
2 + -2 + -5x + 2x2 = 2 + -3x + -2 + -2x2

Combine like terms: 2 + -2 = 0
0 + -5x + 2x2 = 2 + -3x + -2 + -2x2
-5x + 2x2 = 2 + -3x + -2 + -2x2

Reorder the terms:
-5x + 2x2 = 2 + -2 + -3x + -2x2

Combine like terms: 2 + -2 = 0
-5x + 2x2 = 0 + -3x + -2x2
-5x + 2x2 = -3x + -2x2

Solving
-5x + 2x2 = -3x + -2x2

Solving for variable 'x'.

Reorder the terms:
-5x + 3x + 2x2 + 2x2 = -3x + -2x2 + 3x + 2x2

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

Combine like terms: 2x2 + 2x2 = 4x2
-2x + 4x2 = -3x + -2x2 + 3x + 2x2

Reorder the terms:
-2x + 4x2 = -3x + 3x + -2x2 + 2x2

Combine like terms: -3x + 3x = 0
-2x + 4x2 = 0 + -2x2 + 2x2
-2x + 4x2 = -2x2 + 2x2

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1 + 2x) = 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 '(-1 + 2x)' equal to zero and attempt to solve: Simplifying -1 + 2x = 0 Solving -1 + 2x = 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 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5

Solution

x = {0, 0.5}

See similar equations:

| x=3+2/5 | | 10006x=536+23.6 | | 4+3*x=2*x^2-5 | | 3x-4/2+5x+1/3=0 | | x=6/3 | | 2(3y-6)/3y=3 | | 5x+2=3x^2 | | 67-6x=3x+21 | | y=6(2+2)-8 | | 4+11x+6x^2=0 | | x^2+11x+32=0 | | y=3(4+1) | | ifx=5whatdoes(2x)2mean | | 5x+6=-110-8x | | (2x)2x=5 | | y=50-20 | | 28=7r+7 | | 3x+1/2y=4 | | 6+-8x=25-15x | | 1/2x+y=-6 | | (13x+9)(4x-12)=0 | | 6-8x=25-15 | | 3x-138=5x-10 | | 3f-9=12 | | b-9/3=12 | | 3x+8=62-7x | | 3x-13x^1/2+4=0 | | 18r-12r=192 | | 2*x*2+9*x+11=7 | | 85=72+t/3 | | 25=b/12+21 | | 2x^2/3-3x^1/3-2=0 |

Equations solver categories