(2n-3)(n^2+3n-2)=(n-1)(2n^2+5n-4)

Simple and best practice solution for (2n-3)(n^2+3n-2)=(n-1)(2n^2+5n-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 (2n-3)(n^2+3n-2)=(n-1)(2n^2+5n-4) equation: 


Simplifying
(2n + -3)(n2 + 3n + -2) = (n + -1)(2n2 + 5n + -4)

Reorder the terms:
(-3 + 2n)(n2 + 3n + -2) = (n + -1)(2n2 + 5n + -4)

Reorder the terms:
(-3 + 2n)(-2 + 3n + n2) = (n + -1)(2n2 + 5n + -4)

Multiply (-3 + 2n) * (-2 + 3n + n2)
(-3(-2 + 3n + n2) + 2n * (-2 + 3n + n2)) = (n + -1)(2n2 + 5n + -4)
((-2 * -3 + 3n * -3 + n2 * -3) + 2n * (-2 + 3n + n2)) = (n + -1)(2n2 + 5n + -4)
((6 + -9n + -3n2) + 2n * (-2 + 3n + n2)) = (n + -1)(2n2 + 5n + -4)
(6 + -9n + -3n2 + (-2 * 2n + 3n * 2n + n2 * 2n)) = (n + -1)(2n2 + 5n + -4)
(6 + -9n + -3n2 + (-4n + 6n2 + 2n3)) = (n + -1)(2n2 + 5n + -4)

Reorder the terms:
(6 + -9n + -4n + -3n2 + 6n2 + 2n3) = (n + -1)(2n2 + 5n + -4)

Combine like terms: -9n + -4n = -13n
(6 + -13n + -3n2 + 6n2 + 2n3) = (n + -1)(2n2 + 5n + -4)

Combine like terms: -3n2 + 6n2 = 3n2
(6 + -13n + 3n2 + 2n3) = (n + -1)(2n2 + 5n + -4)

Reorder the terms:
6 + -13n + 3n2 + 2n3 = (-1 + n)(2n2 + 5n + -4)

Reorder the terms:
6 + -13n + 3n2 + 2n3 = (-1 + n)(-4 + 5n + 2n2)

Multiply (-1 + n) * (-4 + 5n + 2n2)
6 + -13n + 3n2 + 2n3 = (-1(-4 + 5n + 2n2) + n(-4 + 5n + 2n2))
6 + -13n + 3n2 + 2n3 = ((-4 * -1 + 5n * -1 + 2n2 * -1) + n(-4 + 5n + 2n2))
6 + -13n + 3n2 + 2n3 = ((4 + -5n + -2n2) + n(-4 + 5n + 2n2))
6 + -13n + 3n2 + 2n3 = (4 + -5n + -2n2 + (-4 * n + 5n * n + 2n2 * n))
6 + -13n + 3n2 + 2n3 = (4 + -5n + -2n2 + (-4n + 5n2 + 2n3))

Reorder the terms:
6 + -13n + 3n2 + 2n3 = (4 + -5n + -4n + -2n2 + 5n2 + 2n3)

Combine like terms: -5n + -4n = -9n
6 + -13n + 3n2 + 2n3 = (4 + -9n + -2n2 + 5n2 + 2n3)

Combine like terms: -2n2 + 5n2 = 3n2
6 + -13n + 3n2 + 2n3 = (4 + -9n + 3n2 + 2n3)

Add '-3n2' to each side of the equation.
6 + -13n + 3n2 + -3n2 + 2n3 = 4 + -9n + 3n2 + -3n2 + 2n3

Combine like terms: 3n2 + -3n2 = 0
6 + -13n + 0 + 2n3 = 4 + -9n + 3n2 + -3n2 + 2n3
6 + -13n + 2n3 = 4 + -9n + 3n2 + -3n2 + 2n3

Combine like terms: 3n2 + -3n2 = 0
6 + -13n + 2n3 = 4 + -9n + 0 + 2n3
6 + -13n + 2n3 = 4 + -9n + 2n3

Add '-2n3' to each side of the equation.
6 + -13n + 2n3 + -2n3 = 4 + -9n + 2n3 + -2n3

Combine like terms: 2n3 + -2n3 = 0
6 + -13n + 0 = 4 + -9n + 2n3 + -2n3
6 + -13n = 4 + -9n + 2n3 + -2n3

Combine like terms: 2n3 + -2n3 = 0
6 + -13n = 4 + -9n + 0
6 + -13n = 4 + -9n

Solving
6 + -13n = 4 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
6 + -13n + 9n = 4 + -9n + 9n

Combine like terms: -13n + 9n = -4n
6 + -4n = 4 + -9n + 9n

Combine like terms: -9n + 9n = 0
6 + -4n = 4 + 0
6 + -4n = 4

Add '-6' to each side of the equation.
6 + -6 + -4n = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -4n = 4 + -6
-4n = 4 + -6

Combine like terms: 4 + -6 = -2
-4n = -2

Divide each side by '-4'.
n = 0.5

Simplifying
n = 0.5

See similar equations:

| 80-5x=31x+16 | | 6+10x=42-x | | 2x+4=x+16 | | 3y-6y=3 | | 10=(0.5x)-1 | | 13m+5n-3m+9n | | Simplifytheexpression.6(7n–5m)+8m | | 9h+7-6h=-5h+9 | | (x-5i)(x-(-5))=0 | | -4(-4d-5) | | 4=(0.5)x-1 | | 3x^2-3x-8= | | 3x-6+x=12 | | (x+4)(x+3) | | 4x^2=-500 | | -5n=3n-24 | | 1=(0.5x)-1 | | 18+3a-(a-6)=34 | | 2x^2-4x3=0 | | 1/3(x-6)=3 | | 4g | | 1/3(x-6)3 | | -2(-x-8)-6x=64 | | -8(6x+3) | | 9.2m-4.7m-8.=63.5 | | 3x+2(x-10)=25 | | 3x-2(-2x)=49 | | 2(w-1)+4=4(w+1 | | 3(y+4)-3=9 | | 9(8+x) | | 3p | | 3*r+16=31 |

Equations solver categories