(5x-3)(x+9)+90=180

Simple and best practice solution for (5x-3)(x+9)+90=180 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 (5x-3)(x+9)+90=180 equation:



(5x-3)(x+9)+90=180
We move all terms to the left:
(5x-3)(x+9)+90-(180)=0
We add all the numbers together, and all the variables
(5x-3)(x+9)-90=0
We multiply parentheses ..
(+5x^2+45x-3x-27)-90=0
We get rid of parentheses
5x^2+45x-3x-27-90=0
We add all the numbers together, and all the variables
5x^2+42x-117=0
a = 5; b = 42; c = -117;
Δ = b2-4ac
Δ = 422-4·5·(-117)
Δ = 4104
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{4104}=\sqrt{36*114}=\sqrt{36}*\sqrt{114}=6\sqrt{114}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(42)-6\sqrt{114}}{2*5}=\frac{-42-6\sqrt{114}}{10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+6\sqrt{114}}{2*5}=\frac{-42+6\sqrt{114}}{10} $

See similar equations:

| 3/14n=15 | | 5y-26=3y+40 | | -3x^+9=0 | | -3x²+9=0 | | 6(8p+3)=114 | | 1+2n=9+n | | 3(2x−1)−7=6x−10 | | -6=-4v+2v | | 4x+5=8x–1 | | 7b+3=8b-3 | | 3(2x-1)=11(3x-15) | | 0=40/(3x-7)^2 | | 12)7b+3=8b-3 | | 1-2(x-7)=5 | | -3=(-7)-2x | | 3(x+1)=18* | | 7x-16=(-2) | | 2x/6+12=16 | | -(1/3)x+(5/3)=(3/2)x+(7/2) | | V2-9v-10=0 | | 8+16=-2x | | x+2x+130°=180° | | 2x-16+5-x=0 | | 7(-7n-2)=182 | | 2x-2+5x=5 | | -5x-3x=(-32) | | -5+x/14=1 | | (-30)=5x | | 8v+4=92 | | -2x=(-20) | | 4c+2c=7+1 | | n-2=4n-14 |

Equations solver categories