(9x+16)(5x+12)=0

Simple and best practice solution for (9x+16)(5x+12)=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 (9x+16)(5x+12)=0 equation: 


Simplifying
(9x + 16)(5x + 12) = 0

Reorder the terms:
(16 + 9x)(5x + 12) = 0

Reorder the terms:
(16 + 9x)(12 + 5x) = 0

Multiply (16 + 9x) * (12 + 5x)
(16(12 + 5x) + 9x * (12 + 5x)) = 0
((12 * 16 + 5x * 16) + 9x * (12 + 5x)) = 0
((192 + 80x) + 9x * (12 + 5x)) = 0
(192 + 80x + (12 * 9x + 5x * 9x)) = 0
(192 + 80x + (108x + 45x2)) = 0

Combine like terms: 80x + 108x = 188x
(192 + 188x + 45x2) = 0

Solving
192 + 188x + 45x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(12 + 5x)(16 + 9x) = 0


Subproblem 1
Set the factor '(12 + 5x)' equal to zero and attempt to solve:

Simplifying
12 + 5x = 0

Solving
12 + 5x = 0

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

Add '-12' to each side of the equation.
12 + -12 + 5x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 0 + -12
5x = 0 + -12

Combine like terms: 0 + -12 = -12
5x = -12

Divide each side by '5'.
x = -2.4

Simplifying
x = -2.4

Subproblem 2
Set the factor '(16 + 9x)' equal to zero and attempt to solve:

Simplifying
16 + 9x = 0

Solving
16 + 9x = 0

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

Add '-16' to each side of the equation.
16 + -16 + 9x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 9x = 0 + -16
9x = 0 + -16

Combine like terms: 0 + -16 = -16
9x = -16

Divide each side by '9'.
x = -1.777777778

Simplifying
x = -1.777777778
Solution
x = {-2.4, -1.777777778}

See similar equations:

| 5(-3+x)=6x-.2 | | 2e^2x=5e^3x | | 22x-5551231=7x | | f(x)=2x^3+3x^2+10x-5 | | 2(w-1)+4=4(e+2) | | 3(y-5)y=7 | | 2y-8-17=-5 | | 7g-8=20 | | 22=-2x+6 | | -4(-3-6)=36 | | 3x^2-23x+17=-13 | | 2x+2=45 | | -8(9s-5)=29-6s | | X+21=7x+51 | | -5y-15=4y+21 | | 6x=9+4x | | 4x=5.2x-4 | | 6x^2y+48y-30y=0 | | 28-4x=16+8x | | .5c=.6c-15 | | .8x-4=5+.2x | | X+1+5=20 | | 3x-2=8-32 | | 5(-1-6a)=235 | | 11(x+10)-2(5x-5)=9x+7x | | 6x^2+48y-30y=0 | | 4-w=-(w+4) | | 5(-3+x)=6x-1.20 | | f(20)=5n+2 | | 9.564613751272157-2.46168321328= | | .5x+5=-2 | | 3n+12+2=20 |

Equations solver categories