(x+1)(x+2)-(x+3)(x+4)=0

Simple and best practice solution for (x+1)(x+2)-(x+3)(x+4)=0 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+3)(x+4)=0 equation: 


Simplifying
(x + 1)(x + 2) + -1(x + 3)(x + 4) = 0

Reorder the terms:
(1 + x)(x + 2) + -1(x + 3)(x + 4) = 0

Reorder the terms:
(1 + x)(2 + x) + -1(x + 3)(x + 4) = 0

Multiply (1 + x) * (2 + x)
(1(2 + x) + x(2 + x)) + -1(x + 3)(x + 4) = 0
((2 * 1 + x * 1) + x(2 + x)) + -1(x + 3)(x + 4) = 0
((2 + 1x) + x(2 + x)) + -1(x + 3)(x + 4) = 0
(2 + 1x + (2 * x + x * x)) + -1(x + 3)(x + 4) = 0
(2 + 1x + (2x + x2)) + -1(x + 3)(x + 4) = 0

Combine like terms: 1x + 2x = 3x
(2 + 3x + x2) + -1(x + 3)(x + 4) = 0

Reorder the terms:
2 + 3x + x2 + -1(3 + x)(x + 4) = 0

Reorder the terms:
2 + 3x + x2 + -1(3 + x)(4 + x) = 0

Multiply (3 + x) * (4 + x)
2 + 3x + x2 + -1(3(4 + x) + x(4 + x)) = 0
2 + 3x + x2 + -1((4 * 3 + x * 3) + x(4 + x)) = 0
2 + 3x + x2 + -1((12 + 3x) + x(4 + x)) = 0
2 + 3x + x2 + -1(12 + 3x + (4 * x + x * x)) = 0
2 + 3x + x2 + -1(12 + 3x + (4x + x2)) = 0

Combine like terms: 3x + 4x = 7x
2 + 3x + x2 + -1(12 + 7x + x2) = 0
2 + 3x + x2 + (12 * -1 + 7x * -1 + x2 * -1) = 0
2 + 3x + x2 + (-12 + -7x + -1x2) = 0

Reorder the terms:
2 + -12 + 3x + -7x + x2 + -1x2 = 0

Combine like terms: 2 + -12 = -10
-10 + 3x + -7x + x2 + -1x2 = 0

Combine like terms: 3x + -7x = -4x
-10 + -4x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
-10 + -4x + 0 = 0
-10 + -4x = 0

Solving
-10 + -4x = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + -4x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = 0 + 10
-4x = 0 + 10

Combine like terms: 0 + 10 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

See similar equations:

| 4x^2-13x+17=6x+5 | | 7k+3-5k^2= | | (2+x)+(18-4x)=-(6x-2) | | 3x+12=4x+3 | | 9-10x=89-45x | | 3x-5=3-9x | | 99+(9/9)= | | 8=-5+d | | -7r=28 | | 2x-3(x+4)=-20 | | -6=5+f | | -48=-6z | | 30=3h | | -4=c+4 | | 7x+5=7+3x | | 7x+5=7x+3x | | 3x-5=7+9x | | 3a-5whena=5 | | 4x+7=49-2 | | 2(x+3)=x+2 | | 10x-9x=37-16x | | 3(23-2)=x | | 6*-5y=10 | | 3x^4+6x^2+4=0 | | 2k-2=k+7 | | 4p+6-p-4= | | 71-6x=30x+19 | | -70-10=7x+15 | | 4p+3q=22 | | 5x+10=-65-10 | | 3log^4x-2=25 | | 4(x-y)(x+y)=4x+4x |

Equations solver categories