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

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


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

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

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

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

Combine like terms: -4x + -1x = -5x
(4 + -5x + x2) = (x + 4)(x + 3)

Reorder the terms:
4 + -5x + x2 = (4 + x)(x + 3)

Reorder the terms:
4 + -5x + x2 = (4 + x)(3 + x)

Multiply (4 + x) * (3 + x)
4 + -5x + x2 = (4(3 + x) + x(3 + x))
4 + -5x + x2 = ((3 * 4 + x * 4) + x(3 + x))
4 + -5x + x2 = ((12 + 4x) + x(3 + x))
4 + -5x + x2 = (12 + 4x + (3 * x + x * x))
4 + -5x + x2 = (12 + 4x + (3x + x2))

Combine like terms: 4x + 3x = 7x
4 + -5x + x2 = (12 + 7x + x2)

Add '-1x2' to each side of the equation.
4 + -5x + x2 + -1x2 = 12 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + -5x + 0 = 12 + 7x + x2 + -1x2
4 + -5x = 12 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + -5x = 12 + 7x + 0
4 + -5x = 12 + 7x

Solving
4 + -5x = 12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
4 + -5x + -7x = 12 + 7x + -7x

Combine like terms: -5x + -7x = -12x
4 + -12x = 12 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -12x = 12 + 0
4 + -12x = 12

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

Combine like terms: 4 + -4 = 0
0 + -12x = 12 + -4
-12x = 12 + -4

Combine like terms: 12 + -4 = 8
-12x = 8

Divide each side by '-12'.
x = -0.6666666667

Simplifying
x = -0.6666666667

See similar equations:

| -(7x-1)+7(x+5)=35 | | 12=(25-x)-19-2x | | -6b-b=-24 | | 8+3(s-5t)=0 | | 6x-30+4x=180 | | -8a+40=-8(3a+1) | | 6x+33=3x+81 | | -150=-60-6x | | -5(8r+4)=100 | | (7-3i)(2+5i)= | | -7v-6v=-16-5v | | 20-6x=-10-5x | | 1+4x*x=15 | | 1-6n+7n=-1 | | (5z-4x)(5z+4x)= | | 5t^4+7t^4-6t^4= | | 2(v-4)=-2(-1+3v) | | i^43= | | -71=-3x-17 | | 1x-1=5 | | 34+6x=-7(-3x+7)-7 | | 2u+26=5(u+1) | | 8x+14+5x=118 | | 73+3x=-95+11x | | 14x=-2x+12 | | 3x+9x=4-1 | | 6sinX-5=0 | | 85=x-7(-3-x) | | (8-2i)-(15+7i)= | | =(8-2i)-(15+7i) | | -90+x=42-5x | | 6x-3=13+3x |

Equations solver categories