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

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


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

Reorder the terms:
x(-4 + x) = 3(x + 6)
(-4 * x + x * x) = 3(x + 6)
(-4x + x2) = 3(x + 6)

Reorder the terms:
-4x + x2 = 3(6 + x)
-4x + x2 = (6 * 3 + x * 3)
-4x + x2 = (18 + 3x)

Solving
-4x + x2 = 18 + 3x

Solving for variable 'x'.

Reorder the terms:
-18 + -4x + -3x + x2 = 18 + 3x + -18 + -3x

Combine like terms: -4x + -3x = -7x
-18 + -7x + x2 = 18 + 3x + -18 + -3x

Reorder the terms:
-18 + -7x + x2 = 18 + -18 + 3x + -3x

Combine like terms: 18 + -18 = 0
-18 + -7x + x2 = 0 + 3x + -3x
-18 + -7x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + -7x + x2 = 0

Factor a trinomial.
(-2 + -1x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

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

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

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

Simplifying
x = -2

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-2, 9}

See similar equations:

| 8(m-5)=2(4m-7) | | 15x^2-34x-77= | | 16x=2x-56 | | 2m+1=m-2 | | 7y+5-2y-3=6+5y-4 | | 75=14y+5 | | x^2+x-130=0 | | x-8=-3x+5 | | 3x+2=2x+12 | | -x^4+2x^2-1=0 | | (x^2)y-X^2+4y=0 | | 200c^2+80x+8=0 | | X(x+8)+12=0 | | 4c-3(c-8)=47 | | 2k-1=k-5+3k | | x^3-6x^2-4x=-24 | | 3x-8x-10x=-75 | | (-3yz^2)(2y^4z^7)=0 | | x+2=-2x-8 | | x^2-7x+72=0 | | 4p^2-4p+1=0 | | 0.3-0.12x=0.18+0.06 | | 5x+6y=3x+12 | | 8+13x=34 | | 44=12-4x | | 3(t-1)=-(t-5) | | -2x-(x+4)=2x-14 | | -17=-32-3 | | 1+5n-(n-1)=0 | | 5r=18+2r | | 72x^2-38x=12 | | 16x^2+4x+1=0 |

Equations solver categories