(10x+5)(12x-1)=180

Simple and best practice solution for (10x+5)(12x-1)=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 (10x+5)(12x-1)=180 equation:



(10x+5)(12x-1)=180
We move all terms to the left:
(10x+5)(12x-1)-(180)=0
We multiply parentheses ..
(+120x^2-10x+60x-5)-180=0
We get rid of parentheses
120x^2-10x+60x-5-180=0
We add all the numbers together, and all the variables
120x^2+50x-185=0
a = 120; b = 50; c = -185;
Δ = b2-4ac
Δ = 502-4·120·(-185)
Δ = 91300
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:
$\sqrt{\Delta}=\sqrt{91300}=\sqrt{100*913}=\sqrt{100}*\sqrt{913}=10\sqrt{913}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-10\sqrt{913}}{2*120}=\frac{-50-10\sqrt{913}}{240} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+10\sqrt{913}}{2*120}=\frac{-50+10\sqrt{913}}{240} $

See similar equations:

| (7i)+(2i)=0 | | 4(2x+2)+80=12x+5-4x+83 | | 11-7v=7(1-v) | | -10x^2+20x+10=0 | | -15+(-15x)=12x | | 210000=1000x+1600(x+45) | | -5w=-6w+w | | 8^3x-4=(2^2x-3)(4) | | Y-8x=40 | | 5x2=8x+21 | | 6d−​2/​11​​=2d−​2/​13​​ | | -(j–2)+7=3 | | 4-2x=2000 | | 5=3*k | | -10=-4X-6(-2x-5) | | 5(2m-4)=8(m-4) | | 1.1+w/3=-3.7 | | a2-6a+9=0 | | 5u-12=73 | | 4x-7(-4X+15)=119 | | 34-7x=12+4x | | 6360x-840=60(106x-14) | | (3x+60)/5=40-x | | 5+2=2b+3 | | Y-10=4(x-2) | | 2z2+z+2=3 | | 0.01x^2-0.02x-0.01=0 | | 5a-12=2a+27 | | 2/3|5-2w|-1/2=5 | | 8x-20=5x+37 | | 4x-7(-4+15)=119 | | 25x^2+105x=0 |

Equations solver categories