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

Reorder the terms:
(12 + 4X + 3x + xX) = (x + 1)(x + -2)
(12 + 4X + 3x + xX) = (x + 1)(x + -2)

Reorder the terms:
12 + 4X + 3x + xX = (1 + x)(x + -2)

Reorder the terms:
12 + 4X + 3x + xX = (1 + x)(-2 + x)

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

Combine like terms: 1x + -2x = -1x
12 + 4X + 3x + xX = (-2 + -1x + x2)

Solving
12 + 4X + 3x + xX = -2 + -1x + x2

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + 4X + 3x + -12 + xX = -2 + -1x + -12 + x2

Reorder the terms:
12 + -12 + 4X + 3x + xX = -2 + -1x + -12 + x2

Combine like terms: 12 + -12 = 0
0 + 4X + 3x + xX = -2 + -1x + -12 + x2
4X + 3x + xX = -2 + -1x + -12 + x2

Reorder the terms:
4X + 3x + xX = -2 + -12 + -1x + x2

Combine like terms: -2 + -12 = -14
4X + 3x + xX = -14 + -1x + x2

Add '-3x' to each side of the equation.
4X + 3x + -3x + xX = -14 + -1x + -3x + x2

Combine like terms: 3x + -3x = 0
4X + 0 + xX = -14 + -1x + -3x + x2
4X + xX = -14 + -1x + -3x + x2

Combine like terms: -1x + -3x = -4x
4X + xX = -14 + -4x + x2

Reorder the terms:
14 + 4X + 4x + xX + -1x2 = -14 + -4x + x2 + 14 + 4x + -1x2

Reorder the terms:
14 + 4X + 4x + xX + -1x2 = -14 + 14 + -4x + 4x + x2 + -1x2

Combine like terms: -14 + 14 = 0
14 + 4X + 4x + xX + -1x2 = 0 + -4x + 4x + x2 + -1x2
14 + 4X + 4x + xX + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
14 + 4X + 4x + xX + -1x2 = 0 + x2 + -1x2
14 + 4X + 4x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14 + 4X + 4x + xX + -1x2 = 0

The solution to this equation could not be determined.

See similar equations:

| -7x+5x+19-9x= | | -4(w+1)+5= | | 7x+6=9x+1 | | (X+3)(x+4)=(x+1)(x-3) | | x^2+3/2x+1 | | 6r-1+6r=11b | | x+12+z=a | | -4(u+6)+5(4u+6)= | | 9r^2(-5)=607 | | 8p^2+56p=0 | | -7x+5x+19-9= | | 27/4=12x | | f(x)=-9x^2+6x+7 | | 3(u+5)-5u= | | Y=5(x-4)+x | | a+b-9=p | | 1-2x=-7x+6 | | 3(w-1)=2(w-7) | | 530x-172=212-430x | | -(y-w-5)= | | -2x+12y=9 | | 5-(2x-3)=-8+2 | | N-50.00=0.80(n-100.00) | | p=a+b-9 | | 7x-8(x+3)=50 | | 3/4+3x=1/2-2x | | 3/8-1/4t=1/2t-6 | | 4c-2x+8x=30 | | 6(t-5)+2(2t+1)=9(t-4)+2 | | -4(-3)-2(-1)= | | 10x-(3x-10)=2+6x | | -4(x-6)=3x+17 |

Equations solver categories