(100Q-10Q^2)=(30+10Q)Q

Simple and best practice solution for (100Q-10Q^2)=(30+10Q)Q 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 (100Q-10Q^2)=(30+10Q)Q equation: 


Simplifying
(100Q + -10Q2) = (30 + 10Q) * Q

Remove parenthesis around (100Q + -10Q2)
100Q + -10Q2 = (30 + 10Q) * Q

Reorder the terms for easier multiplication:
100Q + -10Q2 = Q(30 + 10Q)
100Q + -10Q2 = (30 * Q + 10Q * Q)
100Q + -10Q2 = (30Q + 10Q2)

Solving
100Q + -10Q2 = 30Q + 10Q2

Solving for variable 'Q'.

Reorder the terms:
100Q + -30Q + -10Q2 + -10Q2 = 30Q + 10Q2 + -30Q + -10Q2

Combine like terms: 100Q + -30Q = 70Q
70Q + -10Q2 + -10Q2 = 30Q + 10Q2 + -30Q + -10Q2

Combine like terms: -10Q2 + -10Q2 = -20Q2
70Q + -20Q2 = 30Q + 10Q2 + -30Q + -10Q2

Reorder the terms:
70Q + -20Q2 = 30Q + -30Q + 10Q2 + -10Q2

Combine like terms: 30Q + -30Q = 0
70Q + -20Q2 = 0 + 10Q2 + -10Q2
70Q + -20Q2 = 10Q2 + -10Q2

Combine like terms: 10Q2 + -10Q2 = 0
70Q + -20Q2 = 0

Factor out the Greatest Common Factor (GCF), '10Q'.
10Q(7 + -2Q) = 0

Ignore the factor 10.

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 + -2Q)' equal to zero and attempt to solve:

Simplifying
7 + -2Q = 0

Solving
7 + -2Q = 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 + -2Q = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2Q = 0 + -7
-2Q = 0 + -7

Combine like terms: 0 + -7 = -7
-2Q = -7

Divide each side by '-2'.
Q = 3.5

Simplifying
Q = 3.5
Solution
Q = {0, 3.5}

See similar equations:

| -3m=13+5(3) | | 83n=-870 | | 0=x^2-30x+80 | | 1.5(1-2.8r)=-29.7+7.8r | | -3m=13+5(0) | | 2a=8+4a | | 18/12=45/x | | 16+16yi=4x-2i | | 1hj-4=1k | | 23x-29y=-2 | | x-3=15x+69 | | 3X-4y+z=28 | | 18-(-12-3)= | | 7+4x+3=x+16+3x | | 6x+20+6x+30=180 | | -3m=13+5(-3) | | 130+0.20x=70+0.40 | | X^2+25x-169=0 | | 8-(12+4y)=0 | | -5-(15y-1)=2(7y-6)-y | | 4x-2(3-n)=-13 | | .5(4x+8)=7 | | 5-a=360 | | 6w-2+3-4(4-w)=12+4w | | 71=2x+5x+8 | | X^2+25-169=0 | | 18-(12-3)= | | X-5(x+2)=x+3(3+2x) | | 6(u-11)-4=-72 | | 18-7x+3=0 | | 9n+12= | | F(x)=6x-3f(8) |

Equations solver categories