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

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


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

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

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

Multiply (-7 + 4q) * (3 + q)
-5q(-7(3 + q) + 4q * (3 + q)) = 0
-5q((3 * -7 + q * -7) + 4q * (3 + q)) = 0
-5q((-21 + -7q) + 4q * (3 + q)) = 0
-5q(-21 + -7q + (3 * 4q + q * 4q)) = 0
-5q(-21 + -7q + (12q + 4q2)) = 0

Combine like terms: -7q + 12q = 5q
-5q(-21 + 5q + 4q2) = 0
(-21 * -5q + 5q * -5q + 4q2 * -5q) = 0
(105q + -25q2 + -20q3) = 0

Solving
105q + -25q2 + -20q3 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '5q'.
5q(21 + -5q + -4q2) = 0

Factor a trinomial.
5q((7 + -4q)(3 + q)) = 0

Ignore the factor 5.

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

Simplifying
q = 0

Solving
q = 0

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

Simplifying
q = 0

Subproblem 2
Set the factor '(7 + -4q)' equal to zero and attempt to solve:

Simplifying
7 + -4q = 0

Solving
7 + -4q = 0

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

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

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

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

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

Simplifying
q = 1.75

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

Simplifying
3 + q = 0

Solving
3 + q = 0

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

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

Combine like terms: 3 + -3 = 0
0 + q = 0 + -3
q = 0 + -3

Combine like terms: 0 + -3 = -3
q = -3

Simplifying
q = -3
Solution
q = {0, 1.75, -3}

See similar equations:

| .16(24)+.04x=.08(24+x) | | -2x^2+14x+7=o | | -x*-4+9=6*x-4 | | -16x^2+32x+108=0 | | 3(x-3)+2=5x-2(1+x) | | 3m^3-15m^2+75m= | | 16x^3-20x^2=0 | | 9(2n-4)=(3n+6)+8 | | 7(1+2x)=-2- | | -2(t-3)+8t=9t-3 | | .111111(x-27)+.3333333(x+3)=x-59 | | 2a^2-17a+8=0 | | 4x-1=6x+8 | | 5(6x-1)+1=30x-4 | | -110+6x=4 | | 6(6)/2(3)+4= | | 6tan(2x)-12cos(x)=0 | | 5-x*3=3(x+1)7 | | m^8+9m^6+24m^4+16m^2=0 | | 8n+12-n=21 | | 3t^2-24t+1021=0 | | 10x^2-4x-384=0 | | 7-2*4=3(x+5)9 | | (x+xy+7)+(y-xy+8)= | | X^2-10=30x | | X^2+6x=621 | | (7-2)4=3(x+5)9 | | 3-6x=-8x+1 | | 8(v+2)-4v=2(2v+4)-16 | | -x^3+4x^2+59x-146=0 | | 7y^2+y-60=0 | | P^2-14+49=72+49 |

Equations solver categories