x(2x+4)=6x+24

Simple and best practice solution for x(2x+4)=6x+24 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(2x+4)=6x+24 equation: 


Simplifying
x(2x + 4) = 6x + 24

Reorder the terms:
x(4 + 2x) = 6x + 24
(4 * x + 2x * x) = 6x + 24
(4x + 2x2) = 6x + 24

Reorder the terms:
4x + 2x2 = 24 + 6x

Solving
4x + 2x2 = 24 + 6x

Solving for variable 'x'.

Reorder the terms:
-24 + 4x + -6x + 2x2 = 24 + 6x + -24 + -6x

Combine like terms: 4x + -6x = -2x
-24 + -2x + 2x2 = 24 + 6x + -24 + -6x

Reorder the terms:
-24 + -2x + 2x2 = 24 + -24 + 6x + -6x

Combine like terms: 24 + -24 = 0
-24 + -2x + 2x2 = 0 + 6x + -6x
-24 + -2x + 2x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + -2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -1x + x2) = 0

Factor a trinomial.
2((-3 + -1x)(4 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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 = {-3, 4}

See similar equations:

| 3(x+5)=8x-30 | | 5/3r=7 | | 8/7r=-8 | | (12-4)+y=180 | | 9x-46=0 | | 45a^6b^10/5a^3b | | 8*1+3y=8 | | 4*5*(2+4)+4*0= | | -13n+17=-12n-11 | | 13n+17=12n-11 | | -13n+17=12n+-11 | | 12/(2(9/16)) | | 1950=x+.35x | | -7+log^3*(x-7)=-3 | | 20*9(1/12) | | -3x5/-9x-2/7 | | 8x+32y=72 | | 36=-6/5w | | 13n+17=-12n-11 | | 4*5*(2+4)+4+0= | | 6-9z-2= | | 7-3p-5p= | | 4*5*(2+4)*4+0= | | -3-(-7)=x/2 | | a^3-3ab^2+b^3-3a^2b=15 | | ln(x)=-.39 | | 6x+36=5x+35 | | -6(4x-5)+9=-24x+39 | | 3/11*2/7 | | 3z(z-4)+(z-4)=0 | | (3n+2)(n-9)=0 | | -16x-12=-92 |

Equations solver categories