Loading web-font TeX/Math/Italic

-2(3x-5)=9/2x-2

Simple and best practice solution for -2(3x-5)=9/2x-2 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 -2(3x-5)=9/2x-2 equation:



-2(3x-5)=9/2x-2
We move all terms to the left:
-2(3x-5)-(9/2x-2)=0
Domain of the equation: 2x-2)!=0
x∈R
We multiply parentheses
-6x-(9/2x-2)+10=0
We get rid of parentheses
-6x-9/2x+2+10=0
We multiply all the terms by the denominator
-6x*2x+2*2x+10*2x-9=0
Wy multiply elements
-12x^2+4x+20x-9=0
We add all the numbers together, and all the variables
-12x^2+24x-9=0
a = -12; b = 24; c = -9;
Δ = b2-4ac
Δ = 242-4·(-12)·(-9)
Δ = 144
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}

\sqrt{\Delta}=\sqrt{144}=12
x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-12}{2*-12}=\frac{-36}{-24} =1+1/2
x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+12}{2*-12}=\frac{-12}{-24} =1/2

See similar equations:

| 2k+11k-7k=24 | | 7+4a=13+2a | | x/7=0.4x | | 4(4+3)=6(y-1) | | a-(a0.2)=180 | | 11c-9=15+9c | | 1+5w=w+13 | | 8y+6=114 | | 3y=35-21 | | 11u=36+2u | | 57=10w+4 | | 13.5=9x-4.5 | | .63/a+3=10 | | (2x-5)(x-10)=90 | | c=0.10x+12.50(30) | | 2/7=n+3/8 | | (2x+15)+(6x-45)+90+90=180 | | (6x-45)+90=180 | | 14^-3x=5^x+8 | | 14-3x=5x+8 | | 2x^2+39x+180=0 | | 4x^2+78x+360=0 | | -2x-10=2x-50 | | 3w^=75 | | 625=(2.7)^0.584t | | 6x+15=2x+28 | | 9z+9=3z-19 | | 247x=51710 | | 7.848.w=36 | | (3x+8)(x+4)=180 | | -6x-2(-4x-7)=32 | | 10(-3y+10)+7y=-38 |

Equations solver categories