Loading web-font TeX/Math/Italic

5x(3x+12)=90

Simple and best practice solution for 5x(3x+12)=90 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(3x+12)=90 equation:



5x(3x+12)=90
We move all terms to the left:
5x(3x+12)-(90)=0
We multiply parentheses
15x^2+60x-90=0
a = 15; b = 60; c = -90;
Δ = b2-4ac
Δ = 602-4·15·(-90)
Δ = 9000
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{9000}=\sqrt{900*10}=\sqrt{900}*\sqrt{10}=30\sqrt{10}
x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-30\sqrt{10}}{2*15}=\frac{-60-30\sqrt{10}}{30}
x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+30\sqrt{10}}{2*15}=\frac{-60+30\sqrt{10}}{30}

See similar equations:

| -4x+5=23 | | k-30=k-63 | | k+81=4k | | 7h+17=73 | | (11)(x)=0 | | d/9=13 | | x-36=6x | | (x+11)(x–10)=0 | | 3s-4.75=21 | | (6)(p)=54 | | m+12=8m | | g−62=14 | | n+30=28 | | r-6=2r | | V=3.14x18^2x8 | | 7.2y=18.3 | | 13x^2=90 | | (5x)+(2x)=90 | | -2a-5=3(5-2a) | | 3k+38=92 | | (60)+(4x)=90 | | 13–8x=141 | | 3(-2x+4)=-6x-12* | | 20=48t^2 | | 3s+4.75=21 | | 93/4−2s=21/4 | | x=74x≥13 | | 5=-1-7/k | | (4x+9)(5x+5)=180 | | 3(x+4)=-3* | | x^2-14x=287 | | 9x=135* |

Equations solver categories