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

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


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

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

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

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

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

Reorder the terms:
-3 + -1x + 2x2 = (-1 + x)(x + 3)

Reorder the terms:
-3 + -1x + 2x2 = (-1 + x)(3 + x)

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

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

Add '3' to each side of the equation.
-3 + -1x + 3 + 2x2 = -3 + 2x + 3 + x2

Reorder the terms:
-3 + 3 + -1x + 2x2 = -3 + 2x + 3 + x2

Combine like terms: -3 + 3 = 0
0 + -1x + 2x2 = -3 + 2x + 3 + x2
-1x + 2x2 = -3 + 2x + 3 + x2

Reorder the terms:
-1x + 2x2 = -3 + 3 + 2x + x2

Combine like terms: -3 + 3 = 0
-1x + 2x2 = 0 + 2x + x2
-1x + 2x2 = 2x + x2

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

Solving for variable 'x'.

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

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

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

Reorder the terms:
-3x + 1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
-3x + 1x2 = 0 + x2 + -1x2
-3x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3x + 1x2 = 0

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

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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3

Solution

x = {0, 3}

See similar equations:

| 70x/37x7/10 | | B=k^1-k^2/f | | 7*x-3=5+x | | p^2=6p-4 | | 4ln(x+5)-x=10 | | -8(6x-3)(5x+9)=0 | | 7x=x^2-1 | | (x+17)/5=(109-2x)/3 | | 4y=y^2+6 | | (x+17)5=(109-2x)3 | | 49y^2-196= | | -2x(3x-1)(7x+4)=0 | | 25a^5+10a^3= | | a+12/3 | | 4x^2+18x-13=5-3x | | 7*x=5+2*x | | 1/4x^2-3/2x=4 | | 3x/4x=3x+7/5x-8 | | 3(a+12)=9 | | 3(2x-1)=4x+10 | | 2c+1=7 | | 67/22-47/11 | | 2h+5d=9 | | 3x+7/3x=5x-8/4x | | 4h+4d=12 | | 15x^2+14x-13920=0 | | 15x-8=12x+7 | | 55x3-(-12)/8 | | 7y/3y=28 | | 14x^2+15x-13920=0 | | -(7xy-10)+2(5xy+4)= | | IV=10(7+11) |

Equations solver categories