(x-3)(x+4)=(x+1)(x+6)

Simple and best practice solution for (x-3)(x+4)=(x+1)(x+6) 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+6) equation: 


Simplifying
(x + -3)(x + 4) = (x + 1)(x + 6)

Reorder the terms:
(-3 + x)(x + 4) = (x + 1)(x + 6)

Reorder the terms:
(-3 + x)(4 + x) = (x + 1)(x + 6)

Multiply (-3 + x) * (4 + x)
(-3(4 + x) + x(4 + x)) = (x + 1)(x + 6)
((4 * -3 + x * -3) + x(4 + x)) = (x + 1)(x + 6)
((-12 + -3x) + x(4 + x)) = (x + 1)(x + 6)
(-12 + -3x + (4 * x + x * x)) = (x + 1)(x + 6)
(-12 + -3x + (4x + x2)) = (x + 1)(x + 6)

Combine like terms: -3x + 4x = 1x
(-12 + 1x + x2) = (x + 1)(x + 6)

Reorder the terms:
-12 + 1x + x2 = (1 + x)(x + 6)

Reorder the terms:
-12 + 1x + x2 = (1 + x)(6 + x)

Multiply (1 + x) * (6 + x)
-12 + 1x + x2 = (1(6 + x) + x(6 + x))
-12 + 1x + x2 = ((6 * 1 + x * 1) + x(6 + x))
-12 + 1x + x2 = ((6 + 1x) + x(6 + x))
-12 + 1x + x2 = (6 + 1x + (6 * x + x * x))
-12 + 1x + x2 = (6 + 1x + (6x + x2))

Combine like terms: 1x + 6x = 7x
-12 + 1x + x2 = (6 + 7x + x2)

Add '-1x2' to each side of the equation.
-12 + 1x + x2 + -1x2 = 6 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + 1x + 0 = 6 + 7x + x2 + -1x2
-12 + 1x = 6 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + 1x = 6 + 7x + 0
-12 + 1x = 6 + 7x

Solving
-12 + 1x = 6 + 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.
-12 + 1x + -7x = 6 + 7x + -7x

Combine like terms: 1x + -7x = -6x
-12 + -6x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + -6x = 6 + 0
-12 + -6x = 6

Add '12' to each side of the equation.
-12 + 12 + -6x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + -6x = 6 + 12
-6x = 6 + 12

Combine like terms: 6 + 12 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

See similar equations:

| 6y-12=10+-5y | | -2(3x+5)=4(x-6) | | 6-4(3+x)+2(x-3)=-16 | | 18v^3+51v-42v= | | z^2-16z+39=0 | | -(n-5)=25 | | -14+32x+128x^2=0 | | 2x+5=7x-55 | | 7+3+2x-x=11 | | x-68-3x=94 | | 5-3(2x+4)=x | | -x^2+18x-81=0 | | 8(16x^2-1)+2=-8(4x-1) | | 15n-12-5n=8 | | -11x^2+97x+18=0 | | 4a-1=0 | | (x-12)(x-8)=(x-2)(x-15) | | 11x^2-97x-2=0 | | 2z[2-(5-3z)]=-3[8-2z(z-2)] | | 6v^2+14v-6v-14= | | x^2+12x+99=0 | | 128x^2+16x-14=0 | | 36=t+6t | | 3n-8=29+2n | | (4+x)(3-x)=-x(x+7) | | 24=5b-9-2b | | 25-2x=19 | | 2t^2+6t+1=0 | | d+2/4=3 | | 7x-4(6-x)+3(x+1)=-7 | | -24+6k=-6(6-2k) | | 36x^2-61x+25=0 |

Equations solver categories