2x(4x+11)+36(4x+11)=0

Simple and best practice solution for 2x(4x+11)+36(4x+11)=0 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 2x(4x+11)+36(4x+11)=0 equation: 


Simplifying
2x(4x + 11) + 36(4x + 11) = 0

Reorder the terms:
2x(11 + 4x) + 36(4x + 11) = 0
(11 * 2x + 4x * 2x) + 36(4x + 11) = 0
(22x + 8x2) + 36(4x + 11) = 0

Reorder the terms:
22x + 8x2 + 36(11 + 4x) = 0
22x + 8x2 + (11 * 36 + 4x * 36) = 0
22x + 8x2 + (396 + 144x) = 0

Reorder the terms:
396 + 22x + 144x + 8x2 = 0

Combine like terms: 22x + 144x = 166x
396 + 166x + 8x2 = 0

Solving
396 + 166x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(198 + 83x + 4x2) = 0

Factor a trinomial.
2((18 + x)(11 + 4x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Simplifying
x = -18

Subproblem 2
Set the factor '(11 + 4x)' equal to zero and attempt to solve:

Simplifying
11 + 4x = 0

Solving
11 + 4x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 4x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = 0 + -11
4x = 0 + -11

Combine like terms: 0 + -11 = -11
4x = -11

Divide each side by '4'.
x = -2.75

Simplifying
x = -2.75
Solution
x = {-18, -2.75}

See similar equations:

| 15y-20y+15= | | 3x^2+5+x=70 | | -10x+42=5x+14-13x | | 27y^3+x^9= | | 7(5a+6)=2(3a+8) | | -11(6x-22)=6x+40 | | -3m+16-(-13m)= | | -2(t-4)+9t=3t-5 | | 20a^2-64a-21=0 | | 5.5-x=4x-1 | | (x+4)+8=(4+x)+8 | | 3x+4=35 | | 100x^4+85x^3-97x^2-28x=0 | | -6v-16=8(6v-2) | | A=z+znf | | 2x-13y=-5 | | 3-4(x+5)=7x-17 | | 7(3a+6)=2(3a+8) | | 8n-40=-4(-5n+1) | | 8n-40=-4n(-5n+1) | | 30=6-4n | | 9x-3y=-9 | | 7(w-4)=6(9+w) | | 3(8-6k)=2+4k | | 2(2p+5)-27=x | | 3s^2+16s+21=0 | | 4x-4=3x+7 | | 2(x-9)+x=3(x-8)+6 | | 4x+2y=22 | | 5x-7=5(x-1) | | 4(x+4)=3x | | 4(x+4)=3x |

Equations solver categories