x(x-1)(x-2)(x-3)=180(x-1)(x-2)

Simple and best practice solution for x(x-1)(x-2)(x-3)=180(x-1)(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 x(x-1)(x-2)(x-3)=180(x-1)(x-2) equation: 


Simplifying
x(x + -1)(x + -2)(x + -3) = 180(x + -1)(x + -2)

Reorder the terms:
x(-1 + x)(x + -2)(x + -3) = 180(x + -1)(x + -2)

Reorder the terms:
x(-1 + x)(-2 + x)(x + -3) = 180(x + -1)(x + -2)

Reorder the terms:
x(-1 + x)(-2 + x)(-3 + x) = 180(x + -1)(x + -2)

Multiply (-1 + x) * (-2 + x)
x(-1(-2 + x) + x(-2 + x))(-3 + x) = 180(x + -1)(x + -2)
x((-2 * -1 + x * -1) + x(-2 + x))(-3 + x) = 180(x + -1)(x + -2)
x((2 + -1x) + x(-2 + x))(-3 + x) = 180(x + -1)(x + -2)
x(2 + -1x + (-2 * x + x * x))(-3 + x) = 180(x + -1)(x + -2)
x(2 + -1x + (-2x + x2))(-3 + x) = 180(x + -1)(x + -2)

Combine like terms: -1x + -2x = -3x
x(2 + -3x + x2)(-3 + x) = 180(x + -1)(x + -2)

Multiply (2 + -3x + x2) * (-3 + x)
x(2(-3 + x) + -3x * (-3 + x) + x2(-3 + x)) = 180(x + -1)(x + -2)
x((-3 * 2 + x * 2) + -3x * (-3 + x) + x2(-3 + x)) = 180(x + -1)(x + -2)
x((-6 + 2x) + -3x * (-3 + x) + x2(-3 + x)) = 180(x + -1)(x + -2)
x(-6 + 2x + (-3 * -3x + x * -3x) + x2(-3 + x)) = 180(x + -1)(x + -2)
x(-6 + 2x + (9x + -3x2) + x2(-3 + x)) = 180(x + -1)(x + -2)
x(-6 + 2x + 9x + -3x2 + (-3 * x2 + x * x2)) = 180(x + -1)(x + -2)
x(-6 + 2x + 9x + -3x2 + (-3x2 + x3)) = 180(x + -1)(x + -2)

Combine like terms: 2x + 9x = 11x
x(-6 + 11x + -3x2 + -3x2 + x3) = 180(x + -1)(x + -2)

Combine like terms: -3x2 + -3x2 = -6x2
x(-6 + 11x + -6x2 + x3) = 180(x + -1)(x + -2)
(-6 * x + 11x * x + -6x2 * x + x3 * x) = 180(x + -1)(x + -2)
(-6x + 11x2 + -6x3 + x4) = 180(x + -1)(x + -2)

Reorder the terms:
-6x + 11x2 + -6x3 + x4 = 180(-1 + x)(x + -2)

Reorder the terms:
-6x + 11x2 + -6x3 + x4 = 180(-1 + x)(-2 + x)

Multiply (-1 + x) * (-2 + x)
-6x + 11x2 + -6x3 + x4 = 180(-1(-2 + x) + x(-2 + x))
-6x + 11x2 + -6x3 + x4 = 180((-2 * -1 + x * -1) + x(-2 + x))
-6x + 11x2 + -6x3 + x4 = 180((2 + -1x) + x(-2 + x))
-6x + 11x2 + -6x3 + x4 = 180(2 + -1x + (-2 * x + x * x))
-6x + 11x2 + -6x3 + x4 = 180(2 + -1x + (-2x + x2))

Combine like terms: -1x + -2x = -3x
-6x + 11x2 + -6x3 + x4 = 180(2 + -3x + x2)
-6x + 11x2 + -6x3 + x4 = (2 * 180 + -3x * 180 + x2 * 180)
-6x + 11x2 + -6x3 + x4 = (360 + -540x + 180x2)

Solving
-6x + 11x2 + -6x3 + x4 = 360 + -540x + 180x2

Solving for variable 'x'.

Reorder the terms:
-360 + -6x + 540x + 11x2 + -180x2 + -6x3 + x4 = 360 + -540x + 180x2 + -360 + 540x + -180x2

Combine like terms: -6x + 540x = 534x
-360 + 534x + 11x2 + -180x2 + -6x3 + x4 = 360 + -540x + 180x2 + -360 + 540x + -180x2

Combine like terms: 11x2 + -180x2 = -169x2
-360 + 534x + -169x2 + -6x3 + x4 = 360 + -540x + 180x2 + -360 + 540x + -180x2

Reorder the terms:
-360 + 534x + -169x2 + -6x3 + x4 = 360 + -360 + -540x + 540x + 180x2 + -180x2

Combine like terms: 360 + -360 = 0
-360 + 534x + -169x2 + -6x3 + x4 = 0 + -540x + 540x + 180x2 + -180x2
-360 + 534x + -169x2 + -6x3 + x4 = -540x + 540x + 180x2 + -180x2

Combine like terms: -540x + 540x = 0
-360 + 534x + -169x2 + -6x3 + x4 = 0 + 180x2 + -180x2
-360 + 534x + -169x2 + -6x3 + x4 = 180x2 + -180x2

Combine like terms: 180x2 + -180x2 = 0
-360 + 534x + -169x2 + -6x3 + x4 = 0

The solution to this equation could not be determined.

See similar equations:

| 6yx-5x^2=4 | | 6xy-5y^2=4 | | 5x^4+12x^2=0 | | =3x^4-4x^3-12x^2+15 | | 2(5x-4)=x+9 | | 4x^2-16x=65 | | 8x^3-8x^2=3 | | 60+42.95m=25+49.95m | | (x-7)=64 | | 4f+6f= | | 8x^3-8x^2-3=0 | | 147=3*x*x | | -2y-4=4(4y-1) | | 15=5y-4x | | 36=2*6*c | | (4x+3)2=5 | | 9=2(7-b) | | f(x)=3x^4-4x^3-12x^2+15 | | -z^2-iz-1=0 | | y=0.5871e^2l | | 14=2(4+b) | | 8(2+x)=5(3x+x)-11 | | 13=m*5-7 | | 6y+9=31 | | 3=3x^2-7x | | 5x+2y=11-xy | | 7a=2a | | -20=5-5x | | 10x-21=10/x | | 200=0.2*x*x-6x | | 15=m*4+3 | | 1000=x(30-2x) |

Equations solver categories