(x-1)(x+2)+(x-1)(x-5)=(x-1)(2x-3)

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


Simplifying
(x + -1)(x + 2) + (x + -1)(x + -5) = (x + -1)(2x + -3)

Reorder the terms:
(-1 + x)(x + 2) + (x + -1)(x + -5) = (x + -1)(2x + -3)

Reorder the terms:
(-1 + x)(2 + x) + (x + -1)(x + -5) = (x + -1)(2x + -3)

Multiply (-1 + x) * (2 + x)
(-1(2 + x) + x(2 + x)) + (x + -1)(x + -5) = (x + -1)(2x + -3)
((2 * -1 + x * -1) + x(2 + x)) + (x + -1)(x + -5) = (x + -1)(2x + -3)
((-2 + -1x) + x(2 + x)) + (x + -1)(x + -5) = (x + -1)(2x + -3)
(-2 + -1x + (2 * x + x * x)) + (x + -1)(x + -5) = (x + -1)(2x + -3)
(-2 + -1x + (2x + x2)) + (x + -1)(x + -5) = (x + -1)(2x + -3)

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

Reorder the terms:
-2 + 1x + x2 + (-1 + x)(x + -5) = (x + -1)(2x + -3)

Reorder the terms:
-2 + 1x + x2 + (-1 + x)(-5 + x) = (x + -1)(2x + -3)

Multiply (-1 + x) * (-5 + x)
-2 + 1x + x2 + (-1(-5 + x) + x(-5 + x)) = (x + -1)(2x + -3)
-2 + 1x + x2 + ((-5 * -1 + x * -1) + x(-5 + x)) = (x + -1)(2x + -3)
-2 + 1x + x2 + ((5 + -1x) + x(-5 + x)) = (x + -1)(2x + -3)
-2 + 1x + x2 + (5 + -1x + (-5 * x + x * x)) = (x + -1)(2x + -3)
-2 + 1x + x2 + (5 + -1x + (-5x + x2)) = (x + -1)(2x + -3)

Combine like terms: -1x + -5x = -6x
-2 + 1x + x2 + (5 + -6x + x2) = (x + -1)(2x + -3)

Reorder the terms:
-2 + 5 + 1x + -6x + x2 + x2 = (x + -1)(2x + -3)

Combine like terms: -2 + 5 = 3
3 + 1x + -6x + x2 + x2 = (x + -1)(2x + -3)

Combine like terms: 1x + -6x = -5x
3 + -5x + x2 + x2 = (x + -1)(2x + -3)

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

Reorder the terms:
3 + -5x + 2x2 = (-1 + x)(2x + -3)

Reorder the terms:
3 + -5x + 2x2 = (-1 + x)(-3 + 2x)

Multiply (-1 + x) * (-3 + 2x)
3 + -5x + 2x2 = (-1(-3 + 2x) + x(-3 + 2x))
3 + -5x + 2x2 = ((-3 * -1 + 2x * -1) + x(-3 + 2x))
3 + -5x + 2x2 = ((3 + -2x) + x(-3 + 2x))
3 + -5x + 2x2 = (3 + -2x + (-3 * x + 2x * x))
3 + -5x + 2x2 = (3 + -2x + (-3x + 2x2))

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

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

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

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

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

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

See similar equations:

| 27+39=13+x | | 600/6 | | T+10-4tb=-11 | | 5x+2=2(4x+1)+x | | 0=x^2-3x+3 | | B-3/-3=-12 | | 94+72=85+x | | x(4-x^2)=(-x^2+4)x | | x+13=61+9 | | 5x-3=13-13x | | 5/9t=5 | | z-6=z-2 | | 3x+x+5/5 | | 3+5=15 | | 8n-(2n+5)=31 | | 10=7+5/8w | | 3x+2y/6x+y=3/4 | | -5=r/5 | | 16y^2-9x^2=0 | | D=H(s+S)forS | | 3-5=15+2 | | 56x^2+2x-22=0 | | 3x+x+5/5=4 | | 3-5=15 | | 14=6+x/5 | | -2(-7x+4)=-13 | | 9x-11=7+4x | | 3=1-7n | | 15-10y=36-3y | | 8-6x-3=-40+4x-15 | | -3x-12=4x+16 | | -18+4x=-2x |

Equations solver categories