3q^2+48q-704=0

Simple and best practice solution for 3q^2+48q-704=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 3q^2+48q-704=0 equation:


Simplifying
3q2 + 48q + -704 = 0

Reorder the terms:
-704 + 48q + 3q2 = 0

Solving
-704 + 48q + 3q2 = 0

Solving for variable 'q'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
-234.6666667 + 16q + q2 = 0

Move the constant term to the right:

Add '234.6666667' to each side of the equation.
-234.6666667 + 16q + 234.6666667 + q2 = 0 + 234.6666667

Reorder the terms:
-234.6666667 + 234.6666667 + 16q + q2 = 0 + 234.6666667

Combine like terms: -234.6666667 + 234.6666667 = 0.0000000
0.0000000 + 16q + q2 = 0 + 234.6666667
16q + q2 = 0 + 234.6666667

Combine like terms: 0 + 234.6666667 = 234.6666667
16q + q2 = 234.6666667

The q term is 16q.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16q + 64 + q2 = 234.6666667 + 64

Reorder the terms:
64 + 16q + q2 = 234.6666667 + 64

Combine like terms: 234.6666667 + 64 = 298.6666667
64 + 16q + q2 = 298.6666667

Factor a perfect square on the left side:
(q + 8)(q + 8) = 298.6666667

Calculate the square root of the right side: 17.281975197

Break this problem into two subproblems by setting 
(q + 8) equal to 17.281975197 and -17.281975197.

Subproblem 1

q + 8 = 17.281975197 Simplifying q + 8 = 17.281975197 Reorder the terms: 8 + q = 17.281975197 Solving 8 + q = 17.281975197 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + q = 17.281975197 + -8 Combine like terms: 8 + -8 = 0 0 + q = 17.281975197 + -8 q = 17.281975197 + -8 Combine like terms: 17.281975197 + -8 = 9.281975197 q = 9.281975197 Simplifying q = 9.281975197

Subproblem 2

q + 8 = -17.281975197 Simplifying q + 8 = -17.281975197 Reorder the terms: 8 + q = -17.281975197 Solving 8 + q = -17.281975197 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + q = -17.281975197 + -8 Combine like terms: 8 + -8 = 0 0 + q = -17.281975197 + -8 q = -17.281975197 + -8 Combine like terms: -17.281975197 + -8 = -25.281975197 q = -25.281975197 Simplifying q = -25.281975197

Solution

The solution to the problem is based on the solutions from the subproblems. q = {9.281975197, -25.281975197}

See similar equations:

| 6x+14x-4=4(5x+6) | | 3x^2-12yx+9y^2=0 | | y=-20(1000)+150 | | x+5-4x=7 | | 0.04(y-1)+0.16y=0.12y-0.7 | | -7+(-41)= | | .16x+.66x=-.66 | | 6x^2-10x+6=0 | | -3y+9=-6y+15 | | 23-y=17 | | 14=-1+3x | | 18=5x-3(3x+7) | | 18x^2-31xy+6y^2= | | 8-8v+6=14-8v | | h(t)=-16t+28t+200 | | 3X-1ab=40 | | 9z*7z^4= | | 7r+3=38 | | -8b-4=6 | | h(t)=-16t*28t+200 | | z-8z=7z-3-z | | x+3+2x-6=13 | | f(x)=2x^2-11x+6 | | (2+2i)(3-i)= | | 5x+91-2x=140 | | 60000-3200= | | -6x-8x=-14 | | f(-1)=2x^2-11x+6 | | -3(b+4)-7b=-6b-(5b+2) | | 4n++6-2n=2(n+3) | | 5x+60=3x-40 | | 10x+13=1x+10 |

Equations solver categories