(3x+4)(4x+9)=12x+36

Simple and best practice solution for (3x+4)(4x+9)=12x+36 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 (3x+4)(4x+9)=12x+36 equation: 


Simplifying
(3x + 4)(4x + 9) = 12x + 36

Reorder the terms:
(4 + 3x)(4x + 9) = 12x + 36

Reorder the terms:
(4 + 3x)(9 + 4x) = 12x + 36

Multiply (4 + 3x) * (9 + 4x)
(4(9 + 4x) + 3x * (9 + 4x)) = 12x + 36
((9 * 4 + 4x * 4) + 3x * (9 + 4x)) = 12x + 36
((36 + 16x) + 3x * (9 + 4x)) = 12x + 36
(36 + 16x + (9 * 3x + 4x * 3x)) = 12x + 36
(36 + 16x + (27x + 12x2)) = 12x + 36

Combine like terms: 16x + 27x = 43x
(36 + 43x + 12x2) = 12x + 36

Reorder the terms:
36 + 43x + 12x2 = 36 + 12x

Add '-36' to each side of the equation.
36 + 43x + -36 + 12x2 = 36 + -36 + 12x

Reorder the terms:
36 + -36 + 43x + 12x2 = 36 + -36 + 12x

Combine like terms: 36 + -36 = 0
0 + 43x + 12x2 = 36 + -36 + 12x
43x + 12x2 = 36 + -36 + 12x

Combine like terms: 36 + -36 = 0
43x + 12x2 = 0 + 12x
43x + 12x2 = 12x

Solving
43x + 12x2 = 12x

Solving for variable 'x'.

Reorder the terms:
43x + -12x + 12x2 = 12x + -12x

Combine like terms: 43x + -12x = 31x
31x + 12x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
31x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(31 + 12x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(31 + 12x)' equal to zero and attempt to solve:

Simplifying
31 + 12x = 0

Solving
31 + 12x = 0

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

Add '-31' to each side of the equation.
31 + -31 + 12x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 12x = 0 + -31
12x = 0 + -31

Combine like terms: 0 + -31 = -31
12x = -31

Divide each side by '12'.
x = -2.583333333

Simplifying
x = -2.583333333
Solution
x = {0, -2.583333333}

See similar equations:

| 4.9x^2-16x+6=0 | | x^2=9-25 | | x=190-60 | | 6-t=16 | | k-2/3=3 | | 1/81-^1/4 | | (3)2x=5 | | 5c+6=-42-3c | | x^2+3x+y-28=0 | | lx-10l=6 | | 209=78-w | | 4v-10=30 | | 53=4w+13 | | 9*4*(7+9)*9= | | 6x-3=16-103 | | 8t-8=8t | | 3.9-13=1.7+31 | | 5+6=7c | | x+2(5)=15 | | 6v-9=5 | | (49)2x+1=343 | | 5y+7y=2y+16 | | 4x^2+y^2-16x=0 | | N^2+10n-3000=0 | | 1=5b+4 | | 4=9w | | (9)2x+1=27 | | 3-2r-3r=-12 | | x-2x+-6x=3 | | 11=10-6b | | 2v^2-15v+8=(v-6) | | 164=104-y |

Equations solver categories