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

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


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

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

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

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

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

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

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

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

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

Reorder the terms:
-4 + -2 + -4X + 3x + -1x + 3xX + x2 = 0

Combine like terms: -4 + -2 = -6
-6 + -4X + 3x + -1x + 3xX + x2 = 0

Combine like terms: 3x + -1x = 2x
-6 + -4X + 2x + 3xX + x2 = 0

Solving
-6 + -4X + 2x + 3xX + x2 = 0

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + -4X + 2x + 3xX + 6 + x2 = 0 + 6

Reorder the terms:
-6 + 6 + -4X + 2x + 3xX + x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -4X + 2x + 3xX + x2 = 0 + 6
-4X + 2x + 3xX + x2 = 0 + 6

Combine like terms: 0 + 6 = 6
-4X + 2x + 3xX + x2 = 6

Add '-2x' to each side of the equation.
-4X + 2x + 3xX + -2x + x2 = 6 + -2x

Reorder the terms:
-4X + 2x + -2x + 3xX + x2 = 6 + -2x

Combine like terms: 2x + -2x = 0
-4X + 0 + 3xX + x2 = 6 + -2x
-4X + 3xX + x2 = 6 + -2x

Add '-1x2' to each side of the equation.
-4X + 3xX + x2 + -1x2 = 6 + -2x + -1x2

Combine like terms: x2 + -1x2 = 0
-4X + 3xX + 0 = 6 + -2x + -1x2
-4X + 3xX = 6 + -2x + -1x2

Reorder the terms:
-6 + -4X + 2x + 3xX + x2 = 6 + -2x + -1x2 + -6 + 2x + x2

Reorder the terms:
-6 + -4X + 2x + 3xX + x2 = 6 + -6 + -2x + 2x + -1x2 + x2

Combine like terms: 6 + -6 = 0
-6 + -4X + 2x + 3xX + x2 = 0 + -2x + 2x + -1x2 + x2
-6 + -4X + 2x + 3xX + x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
-6 + -4X + 2x + 3xX + x2 = 0 + -1x2 + x2
-6 + -4X + 2x + 3xX + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-6 + -4X + 2x + 3xX + x2 = 0

The solution to this equation could not be determined.

See similar equations:

| 5w+6=8w+8 | | 0.5(3y+2)=7 | | 3x-37=35 | | |x-7/4x−15|8 | | 5x-3=15-3x | | .333a=.77777778 | | 4.5x+3=5x+2 | | Sex=x | | 4z/10-6=9 | | 3/8x=5/4 | | X(square)-x-72=0 | | 45x-2=21 | | 14.74=20.6-5.7u | | 45-2x=21 | | 0.25(x-4)+0.83(x-12)=x+8 | | 3n-11=73 | | F(1)=2x-7 | | 2y^2-4y-2x-2=0 | | N+7.41=12.41 | | X=-16t^2+44t+4 | | N+12.41=7.41 | | 16t^2+96+12=120 | | 3+4x=8+3x | | Z=1+15i | | 0.48n=2.40 | | -0.4a+0.5=2a+0.1 | | N-12.41=7.41 | | 9t-8=5t-4 | | 10x+5=8x+23 | | 4x^3-24x^2+20x=0 | | -(x+6)(x+4)=0 | | -(x+6)=0 |

Equations solver categories