(5q+4)(9+7)(15-3q)=0

Simple and best practice solution for (5q+4)(9+7)(15-3q)=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 (5q+4)(9+7)(15-3q)=0 equation:


Simplifying
(5q + 4)(9 + 7)(15 + -3q) = 0

Reorder the terms:
(4 + 5q)(9 + 7)(15 + -3q) = 0

Combine like terms: 9 + 7 = 16
(4 + 5q)(16)(15 + -3q) = 0

Reorder the terms for easier multiplication:
16(4 + 5q)(15 + -3q) = 0

Multiply (4 + 5q) * (15 + -3q)
16(4(15 + -3q) + 5q * (15 + -3q)) = 0
16((15 * 4 + -3q * 4) + 5q * (15 + -3q)) = 0
16((60 + -12q) + 5q * (15 + -3q)) = 0
16(60 + -12q + (15 * 5q + -3q * 5q)) = 0
16(60 + -12q + (75q + -15q2)) = 0

Combine like terms: -12q + 75q = 63q
16(60 + 63q + -15q2) = 0
(60 * 16 + 63q * 16 + -15q2 * 16) = 0
(960 + 1008q + -240q2) = 0

Solving
960 + 1008q + -240q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '48'.
48(20 + 21q + -5q2) = 0

Factor a trinomial.
48((5 + -1q)(4 + 5q)) = 0

Ignore the factor 48.

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

Simplifying
5 + -1q = 0

Solving
5 + -1q = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1q = 0 + -5
-1q = 0 + -5

Combine like terms: 0 + -5 = -5
-1q = -5

Divide each side by '-1'.
q = 5

Simplifying
q = 5

Subproblem 2
Set the factor '(4 + 5q)' equal to zero and attempt to solve:

Simplifying
4 + 5q = 0

Solving
4 + 5q = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5q = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5q = 0 + -4
5q = 0 + -4

Combine like terms: 0 + -4 = -4
5q = -4

Divide each side by '5'.
q = -0.8

Simplifying
q = -0.8
Solution
q = {5, -0.8}

See similar equations:

| m-(-4)=16 | | 7x+16=x | | -((x^8)/(x^(-16)))^2 | | 6x-15=9x+18 | | x+13/4=-7/4 | | (12x-1)(2x-5)= | | 3x+4x^2-5x-7x^2= | | 7x+16= | | 82+1/3(x)=x | | 12(p+2)=9(p+3) | | 80/15 | | -60+(-6)0= | | -9x=-180 | | 6(3a-b)-6(8b-4a)= | | 11x+4=-128 | | 10y-5y= | | 1/2i^3 | | m/(-45)=-8 | | 2x-3(-6)=14 | | 40-8n=-4(3n-5) | | 55=x+41 | | 7x+2y-3x=4 | | 75=2g+3g | | 5x-10y=-8 | | y=-3/2(-1.5)+9 | | 34=x+23 | | 4w+6k+3w+2+k= | | 3-4x=5x+3 | | j+(-61)=2 | | 7y^2-7y+15-13y^2-7y+5= | | 4+5*5-2*(3-5)= | | 9p+3(p-7)= |

Equations solver categories