(9x+15)(12x+21)=0

Simple and best practice solution for (9x+15)(12x+21)=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+15)(12x+21)=0 equation: 


Simplifying
(9x + 15)(12x + 21) = 0

Reorder the terms:
(15 + 9x)(12x + 21) = 0

Reorder the terms:
(15 + 9x)(21 + 12x) = 0

Multiply (15 + 9x) * (21 + 12x)
(15(21 + 12x) + 9x * (21 + 12x)) = 0
((21 * 15 + 12x * 15) + 9x * (21 + 12x)) = 0
((315 + 180x) + 9x * (21 + 12x)) = 0
(315 + 180x + (21 * 9x + 12x * 9x)) = 0
(315 + 180x + (189x + 108x2)) = 0

Combine like terms: 180x + 189x = 369x
(315 + 369x + 108x2) = 0

Solving
315 + 369x + 108x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(35 + 41x + 12x2) = 0

Factor a trinomial.
9((7 + 4x)(5 + 3x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(7 + 4x)' equal to zero and attempt to solve:

Simplifying
7 + 4x = 0

Solving
7 + 4x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 0 + -7
4x = 0 + -7

Combine like terms: 0 + -7 = -7
4x = -7

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {-1.75, -1.666666667}

See similar equations:

| 36/3.14 | | 5.39-2.20= | | x^3-2.5*x^2-20=0 | | 12x^3+8x^2-15x-10=0 | | 8x-2y-3y^2=0 | | -3p+7=5-(20p+4) | | -p^2+50p=0 | | 3x(6+b)=30 | | 3n-12n=5 | | 2lnx+ln(x+1)= | | 19+(x-50)=90 | | 3/4m-6=5/8 | | 35=18x-13x | | 12x-(2x+5)=16 | | g+4g+1= g+8g+9 | | K=-10 | | 545=125+30x | | 5x+5-12=3x+36-6 | | 58.5=2/9.75x | | 10+(-5)+6=n | | F(6)=7x^2+8 | | x-c/2 | | 2w+6w-15=129 | | 12x-(2x-5)=16 | | a=-6+(-2)+(-1) | | 2x+4x-35=19+2+2x | | P=2175-2187.5(0.25) | | 4x-(3x-5)=3 | | 27x^6-35x^3+8=0 | | 2x-5/3=3/4(x-2) | | 2t-19+5t-20+2t-15=180 | | 21+[36(12-6)+2-5]3= |

Equations solver categories