(x-3)(x+12)=4x

Simple and best practice solution for (x-3)(x+12)=4x 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+12)=4x equation: 


Simplifying
(x + -3)(x + 12) = 4x

Reorder the terms:
(-3 + x)(x + 12) = 4x

Reorder the terms:
(-3 + x)(12 + x) = 4x

Multiply (-3 + x) * (12 + x)
(-3(12 + x) + x(12 + x)) = 4x
((12 * -3 + x * -3) + x(12 + x)) = 4x
((-36 + -3x) + x(12 + x)) = 4x
(-36 + -3x + (12 * x + x * x)) = 4x
(-36 + -3x + (12x + x2)) = 4x

Combine like terms: -3x + 12x = 9x
(-36 + 9x + x2) = 4x

Solving
-36 + 9x + x2 = 4x

Solving for variable 'x'.

Reorder the terms:
-36 + 9x + -4x + x2 = 4x + -4x

Combine like terms: 9x + -4x = 5x
-36 + 5x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-36 + 5x + x2 = 0

Factor a trinomial.
(-9 + -1x)(4 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-9, 4}

See similar equations:

| 4m^2+33m+35=0 | | 10=5x+4-2x | | 4x+5x-4=14 | | 3(x+5)-2(x+7)=11 | | x-y+2xy=7 | | =(4-11i)(-6+5i) | | 7x^2-189=0 | | 7x^2+189=0 | | 4x^2-y^2+2y+16y+16=0 | | 5(x+5)=3x-1 | | x^2-2xy+4y^2=4 | | 4(8x+5)=-32-26 | | 25*y=75 | | 13m^2-(9m)=0 | | 55=3s-20 | | (13m^2)-(9m)=0 | | -4+2y=3y | | 13m^2-9m=0 | | h=-16t^2+68t+5 | | 14=2x-50 | | -5(x-6)= | | 9x-7+5x+14=180 | | 20(19q+8)= | | 2m^2+17m+36=0 | | 48=4a-4 | | 37y-10y+48= | | 9+40lnx=4 | | -21=5 | | 37y-(10y+48)= | | 28=4y-4 | | x=-2/7*6 | | x^3+6x^2+4x-16=0 |

Equations solver categories