-16-16q+2.25q^2=0

Simple and best practice solution for -16-16q+2.25q^2=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 -16-16q+2.25q^2=0 equation: 


Simplifying
-16 + -16q + 2.25q2 = 0

Solving
-16 + -16q + 2.25q2 = 0

Solving for variable 'q'.

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

Divide each side by '2.25'.
-7.111111111 + -7.111111111q + q2 = 0

Move the constant term to the right:

Add '7.111111111' to each side of the equation.
-7.111111111 + -7.111111111q + 7.111111111 + q2 = 0 + 7.111111111

Reorder the terms:
-7.111111111 + 7.111111111 + -7.111111111q + q2 = 0 + 7.111111111

Combine like terms: -7.111111111 + 7.111111111 = 0.000000000
0.000000000 + -7.111111111q + q2 = 0 + 7.111111111
-7.111111111q + q2 = 0 + 7.111111111

Combine like terms: 0 + 7.111111111 = 7.111111111
-7.111111111q + q2 = 7.111111111

The q term is -7.111111111q.  Take half its coefficient (-3.555555556).
Square it (12.64197531) and add it to both sides.

Add '12.64197531' to each side of the equation.
-7.111111111q + 12.64197531 + q2 = 7.111111111 + 12.64197531

Reorder the terms:
12.64197531 + -7.111111111q + q2 = 7.111111111 + 12.64197531

Combine like terms: 7.111111111 + 12.64197531 = 19.753086421
12.64197531 + -7.111111111q + q2 = 19.753086421

Factor a perfect square on the left side:
(q + -3.555555556)(q + -3.555555556) = 19.753086421

Calculate the square root of the right side: 4.444444445

Break this problem into two subproblems by setting 
(q + -3.555555556) equal to 4.444444445 and -4.444444445.


Subproblem 1
q + -3.555555556 = 4.444444445

Simplifying
q + -3.555555556 = 4.444444445

Reorder the terms:
-3.555555556 + q = 4.444444445

Solving
-3.555555556 + q = 4.444444445

Solving for variable 'q'.

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

Add '3.555555556' to each side of the equation.
-3.555555556 + 3.555555556 + q = 4.444444445 + 3.555555556

Combine like terms: -3.555555556 + 3.555555556 = 0.000000000
0.000000000 + q = 4.444444445 + 3.555555556
q = 4.444444445 + 3.555555556

Combine like terms: 4.444444445 + 3.555555556 = 8.000000001
q = 8.000000001

Simplifying
q = 8.000000001


Subproblem 2
q + -3.555555556 = -4.444444445

Simplifying
q + -3.555555556 = -4.444444445

Reorder the terms:
-3.555555556 + q = -4.444444445

Solving
-3.555555556 + q = -4.444444445

Solving for variable 'q'.

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

Add '3.555555556' to each side of the equation.
-3.555555556 + 3.555555556 + q = -4.444444445 + 3.555555556

Combine like terms: -3.555555556 + 3.555555556 = 0.000000000
0.000000000 + q = -4.444444445 + 3.555555556
q = -4.444444445 + 3.555555556

Combine like terms: -4.444444445 + 3.555555556 = -0.888888889
q = -0.888888889

Simplifying
q = -0.888888889


Solution
The solution to the problem is based on the solutions
from the subproblems.
q = {8.000000001, -0.888888889}

See similar equations:

| 3(y+1)2+9=891 | | 3x^2-4x+43=0 | | -y^2+4y+5=0 | | q(2.25q-16)=16 | | 16b^2-44b-126=0 | | 96x^2+336x=-294 | | 2(x+1)=5(x+1) | | 6.75*2=x | | pi*r^2=143 | | 6-21=3 | | 5x^2+39x+60=6 | | 3w+6y+9x+6x-13y+3w= | | 3.14*r^2=143 | | Cos(x)=.4226 | | (x)2+(x+8)2=(48)2 | | -11x-3=52 | | 9d^3+6d^2=24d | | -6v^2-19v-21=0 | | Log(2x+6)+log(5)=1 | | 36+45= | | 4x^2-10x-2=10 | | 4z-5z=15 | | 5(w-4)-8w=-5 | | 8x-11=12x+10 | | p+q+10cq+10cq= | | 6(x+6)=4x+34 | | 4z=5z+15 | | -11-x+2x=15 | | 8n/4=4 | | 8y+(8y*8y)= | | -30/5=? | | y=[x-(1+i)]*[x-(1-i)] |

Equations solver categories