(X+3)(X+4)=(X+1)(X+2)

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


Simplifying
(X + 3)(X + 4) = (X + 1)(X + 2)

Reorder the terms:
(3 + X)(X + 4) = (X + 1)(X + 2)

Reorder the terms:
(3 + X)(4 + X) = (X + 1)(X + 2)

Multiply (3 + X) * (4 + X)
(3(4 + X) + X(4 + X)) = (X + 1)(X + 2)
((4 * 3 + X * 3) + X(4 + X)) = (X + 1)(X + 2)
((12 + 3X) + X(4 + X)) = (X + 1)(X + 2)
(12 + 3X + (4 * X + X * X)) = (X + 1)(X + 2)
(12 + 3X + (4X + X2)) = (X + 1)(X + 2)

Combine like terms: 3X + 4X = 7X
(12 + 7X + X2) = (X + 1)(X + 2)

Reorder the terms:
12 + 7X + X2 = (1 + X)(X + 2)

Reorder the terms:
12 + 7X + X2 = (1 + X)(2 + X)

Multiply (1 + X) * (2 + X)
12 + 7X + X2 = (1(2 + X) + X(2 + X))
12 + 7X + X2 = ((2 * 1 + X * 1) + X(2 + X))
12 + 7X + X2 = ((2 + 1X) + X(2 + X))
12 + 7X + X2 = (2 + 1X + (2 * X + X * X))
12 + 7X + X2 = (2 + 1X + (2X + X2))

Combine like terms: 1X + 2X = 3X
12 + 7X + X2 = (2 + 3X + X2)

Add '-1X2' to each side of the equation.
12 + 7X + X2 + -1X2 = 2 + 3X + X2 + -1X2

Combine like terms: X2 + -1X2 = 0
12 + 7X + 0 = 2 + 3X + X2 + -1X2
12 + 7X = 2 + 3X + X2 + -1X2

Combine like terms: X2 + -1X2 = 0
12 + 7X = 2 + 3X + 0
12 + 7X = 2 + 3X

Solving
12 + 7X = 2 + 3X

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
12 + 7X + -3X = 2 + 3X + -3X

Combine like terms: 7X + -3X = 4X
12 + 4X = 2 + 3X + -3X

Combine like terms: 3X + -3X = 0
12 + 4X = 2 + 0
12 + 4X = 2

Add '-12' to each side of the equation.
12 + -12 + 4X = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 4X = 2 + -12
4X = 2 + -12

Combine like terms: 2 + -12 = -10
4X = -10

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

Simplifying
X = -2.5

See similar equations:

| x/11+21=7 | | 3*x-17=5+x | | -24=-2n-3 | | 9x+2=5x-19 | | 3(3x+1)=13x+1-4x+2 | | m^2-3m+2=0 | | x+0.04=26 | | 9x+10=5x-10 | | 6(x+4)=6x+24 | | -6(-5v-5)-5v=3-2v | | -3x-4-2x=24 | | 6x-6-8=4 | | 1=0.3x-0.7x-11 | | -6-5v-5-5v=3-2v | | 4(y+5)=16 | | 17=15-2x | | -4(-5x+6)-4x=8x+24 | | 8w-3(4-2w)=6(w+1)-2 | | 5+9=14 | | -7n+39=6(1-3n) | | 3(a+2)+7=13+-(a+2) | | 49a^3-1a=0 | | 8y=3y^2+4 | | 8z-z=-2+5z-2-2 | | -10+3x=-5(x+2) | | 6x-4=-4y+2x+8 | | -4-7=25 | | 11-8x=22 | | -8(1-4n)-5=-13-5n | | -24-1.3p=3.8p | | 49x^2-42xy+9y^2=0 | | mx+n+p= |

Equations solver categories