Loading web-font TeX/Math/Italic

x2+12x-9=7x-5

Simple and best practice solution for x2+12x-9=7x-5 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 x2+12x-9=7x-5 equation:



x2+12x-9=7x-5
We move all terms to the left:
x2+12x-9-(7x-5)=0
We add all the numbers together, and all the variables
x^2+12x-(7x-5)-9=0
We get rid of parentheses
x^2+12x-7x+5-9=0
We add all the numbers together, and all the variables
x^2+5x-4=0
a = 1; b = 5; c = -4;
Δ = b2-4ac
Δ = 52-4·1·(-4)
Δ = 41
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}

x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{41}}{2*1}=\frac{-5-\sqrt{41}}{2}
x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{41}}{2*1}=\frac{-5+\sqrt{41}}{2}

See similar equations:

| 1.08^n=2 | | 2.x+11-10.x=2+x-9 | | -3n+21=-3(n-8)-n | | 2.x-7=5.x+2 | | 9x+9x=12x | | 9x=1# | | 6x2(3x)=0 | | 8.x+5=-35 | | 39428482h+(382384h-382389328H)=h | | 18/9=x/10 | | 16/4=x/8 | | 2(5x-3)-4x=9x+21 | | 5x-1+3x=6+4x-23 | | 11x^2-44x-55=0 | | 5x/2+2/5=1 | | W-2=2w+5 | | 11x^2+10x-109=0 | | 0.3X+0.4y=2.4,0.5X-0.3y=1.1 | | 5=y=2 | | 7n=3=2n=23 | | 1/8+c=45 | | 0.3X+0.4y=2.4 | | 3m-9+2m-4=180 | | x+1/2=3/7 | | m+1/2=3/7 | | x+(x/2)+2=230 | | (3m-4/4)-(2m+3/3)=2/3-m | | -9x=2.2=-3+7.0 | | 35x=x | | Y=3x^+15x+18 | | x^2-3x-13804=0 | | 5x-2=3x+110 |

Equations solver categories