(4u+3)(9-u)=0

Simple and best practice solution for (4u+3)(9-u)=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 (4u+3)(9-u)=0 equation:



(4u+3)(9-u)=0
We add all the numbers together, and all the variables
(4u+3)(-1u+9)=0
We multiply parentheses ..
(-4u^2+36u-3u+27)=0
We get rid of parentheses
-4u^2+36u-3u+27=0
We add all the numbers together, and all the variables
-4u^2+33u+27=0
a = -4; b = 33; c = +27;
Δ = b2-4ac
Δ = 332-4·(-4)·27
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-39}{2*-4}=\frac{-72}{-8} =+9 $
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+39}{2*-4}=\frac{6}{-8} =-3/4 $

See similar equations:

| 4x-2(3x=5)=2x=6 | | 8x+3/5=2x | | 5x-6=3x-2+2x-4 | | 2b^2+8=208 | | 8-7(1+2c)=-21 | | 8-1,2x=16-x | | Y=x2-5x+3 | | -9(2f+7)=-19-4f | | 6q+30=-42 | | (Y+12)=(5y+15) | | -3(y+4)=8+2y | | -9k+4-7=29 | | -2w-3(w-4)=42 | | u/2+12=25 | | z/(8)=25 | | 9h+13=15h-1 | | -5n+17=4(n=11) | | 1+1,2x=18-1,2x | | (10w-1)=(9w+8) | | 3x=17^9-x | | 2(3.5)+2(x)=31 | | 8n-7+2n=-20 | | 160=-8(-5x+5) | | 9x+8-3x=50 | | -w+193=123 | | X+4=1,2x+11 | | -5n+17=4n-44 | | 2(x-3)+21=+21-3 | | 2c+17=33 | | 73=237-y | | -5v+7v=35 | | 11w=8939 |

Equations solver categories