2/5x-27=-5/2x+2

Simple and best practice solution for 2/5x-27=-5/2x+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 2/5x-27=-5/2x+2 equation:



2/5x-27=-5/2x+2
We move all terms to the left:
2/5x-27-(-5/2x+2)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 2x+2)!=0
x∈R
We get rid of parentheses
2/5x+5/2x-2-27=0
We calculate fractions
4x/10x^2+25x/10x^2-2-27=0
We add all the numbers together, and all the variables
4x/10x^2+25x/10x^2-29=0
We multiply all the terms by the denominator
4x+25x-29*10x^2=0
We add all the numbers together, and all the variables
29x-29*10x^2=0
Wy multiply elements
-290x^2+29x=0
a = -290; b = 29; c = 0;
Δ = b2-4ac
Δ = 292-4·(-290)·0
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(29)-29}{2*-290}=\frac{-58}{-580} =1/10 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29)+29}{2*-290}=\frac{0}{-580} =0 $

See similar equations:

| 16-2r=2r+1 | | 2(4-y/4)-y=-2 | | 2(3x-2)+7*2=133 | | 0.5t+0.9(40-t)=22.4 | | F(x)=(x-5)2 | | 9q^2-24q+16=0 | | -3x2−12x+15=0 | | x2−6x+5=0 | | 5x57= | | 6x^2+6x-23=0 | | 2x2+14x+24=0 | | 79+x=71 | | 0.5t+.9(40-t)=22.4 | | 16x-6=28x=3 | | 9x+16=10x+5 | | 2x+58=642 | | -2(y-8)=4y-38 | | 2x+2/9=3x+7/9 | | 1/3(6x-15)=4x-19 | | 1/4m=9=-16 | | 0.5t+0.9(40-t=40 | | -3y+24=-6(y+1) | | 0.8n+0.6n=42 | | 12.88-0.88(x+0.50)=0.25x=2(x-3.17) | | 8y+1/4=9y+7/4 | | 13x-6=4+13 | | 0.05t+0.08(100-t)=6.8 | | -9(2b+2)+(19b+3)=0 | | 6x+4x=9x+4 | | -2(y-6)=7y+48 | | 8(x+9)-(2x-7)=5x | | 8d-4=3d-9 |

Equations solver categories