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

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


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

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

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

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

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

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

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

Multiply (-3 + x) * (2 + x)
-4 + -3x + x2 = (-3(2 + x) + x(2 + x))
-4 + -3x + x2 = ((2 * -3 + x * -3) + x(2 + x))
-4 + -3x + x2 = ((-6 + -3x) + x(2 + x))
-4 + -3x + x2 = (-6 + -3x + (2 * x + x * x))
-4 + -3x + x2 = (-6 + -3x + (2x + x2))

Combine like terms: -3x + 2x = -1x
-4 + -3x + x2 = (-6 + -1x + x2)

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

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

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

Solving
-4 + -3x = -6 + -1x

Solving for variable 'x'.

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

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

Combine like terms: -3x + x = -2x
-4 + -2x = -6 + -1x + x

Combine like terms: -1x + x = 0
-4 + -2x = -6 + 0
-4 + -2x = -6

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

Combine like terms: -4 + 4 = 0
0 + -2x = -6 + 4
-2x = -6 + 4

Combine like terms: -6 + 4 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

See similar equations:

| 7x/6-x=x/18-2/3 | | 1x+5(x-4)=70 | | x+2x+3x=17 | | (2d/5c)^4 | | -1/5(x+5)=15 | | (2v^2-2v-12)/(v^2+4v-21) | | (3x-3)(8x+9)=0 | | 24x^2y^5z^3-16x^3y^2z+88x^4y^3=0 | | 7x-5y=-25 | | 56-2x=25x+17 | | 6x-(2x-3)=32 | | 5x-12x+8=10 | | 12x^2+18x= | | 1-x-2=2-x-3 | | 7p+13=33-4p | | -9(x+3)=-7x-17 | | 5a=8b | | -3v-18=7(v+6) | | 5x-4=70 | | 9(v-8)=4v-37 | | -3-6=7-7x | | -6-6x=7-7x | | 14/6+13/10000= | | 7+4u=70-3G | | 7(y+7)+5y=1 | | f(x)=x^2+5f(x-3) | | -3(4x+3)-3(5x+8)= | | 8u/20(u+v) | | 3(t+1)=3(2+3) | | -16=4(x-3)-2x | | 6:2*(1+2)= | | x^2+30x+109=0 |

Equations solver categories