0=40+4q+4q^2

Simple and best practice solution for 0=40+4q+4q^2 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 0=40+4q+4q^2 equation:


Simplifying
0 = 40 + 4q + 4q2

Solving
0 = 40 + 4q + 4q2

Solving for variable 'q'.

Combine like terms: 0 + -40 = -40
-40 + -4q + -4q2 = 40 + 4q + 4q2 + -40 + -4q + -4q2

Reorder the terms:
-40 + -4q + -4q2 = 40 + -40 + 4q + -4q + 4q2 + -4q2

Combine like terms: 40 + -40 = 0
-40 + -4q + -4q2 = 0 + 4q + -4q + 4q2 + -4q2
-40 + -4q + -4q2 = 4q + -4q + 4q2 + -4q2

Combine like terms: 4q + -4q = 0
-40 + -4q + -4q2 = 0 + 4q2 + -4q2
-40 + -4q + -4q2 = 4q2 + -4q2

Combine like terms: 4q2 + -4q2 = 0
-40 + -4q + -4q2 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(10 + q + q2) = 0

Ignore the factor -4.

Subproblem 1

Set the factor '(10 + q + q2)' equal to zero and attempt to solve: Simplifying 10 + q + q2 = 0 Solving 10 + q + q2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + q + -10 + q2 = 0 + -10 Reorder the terms: 10 + -10 + q + q2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + q + q2 = 0 + -10 q + q2 = 0 + -10 Combine like terms: 0 + -10 = -10 q + q2 = -10 The q term is q. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. q + 0.25 + q2 = -10 + 0.25 Reorder the terms: 0.25 + q + q2 = -10 + 0.25 Combine like terms: -10 + 0.25 = -9.75 0.25 + q + q2 = -9.75 Factor a perfect square on the left side: (q + 0.5)(q + 0.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| (x/3)-(2/21)=(1/3) | | 5(x-2)=24-2x | | =4(4x+3y)+2(5x-2y) | | 8u=128 | | 2x^2-4x=70 | | 44-6x=-16 | | 4(w-2)-7w= | | 350+15x= | | 9-3(2x-1)=0 | | 3(2a-4b)+4(2b-a)= | | (4x^5yz^2)(6x^3y^2)= | | abs(5x-4)=16 | | z-13=5.5 | | -39=11x+60 | | 32-4(7x+3)=16 | | 4+2s=10 | | (X+3)(4x-1)=0 | | 0.7(n+0.7)=14(n-0.4) | | 2(x-7)-4=24 | | 30-x+15=17 | | y=1+1.25x | | x=12y-14 | | 18(x^2-4)=0 | | y+12=184 | | x(x+4)=2 | | 2012+6.2=-10.5n | | 8+(-23)+17+(-10)= | | 2012+6.2=10.5n | | .33(9m-15)+5= | | x^2-3x^2-x+3=0 | | (9m-15)+5= | | 8y+9-4y=10+3y+10 |

Equations solver categories