1/5x-12=1/4x-15

Simple and best practice solution for 1/5x-12=1/4x-15 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 1/5x-12=1/4x-15 equation:



1/5x-12=1/4x-15
We move all terms to the left:
1/5x-12-(1/4x-15)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 4x-15)!=0
x∈R
We get rid of parentheses
1/5x-1/4x+15-12=0
We calculate fractions
4x/20x^2+(-5x)/20x^2+15-12=0
We add all the numbers together, and all the variables
4x/20x^2+(-5x)/20x^2+3=0
We multiply all the terms by the denominator
4x+(-5x)+3*20x^2=0
Wy multiply elements
60x^2+4x+(-5x)=0
We get rid of parentheses
60x^2+4x-5x=0
We add all the numbers together, and all the variables
60x^2-1x=0
a = 60; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·60·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*60}=\frac{0}{120} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*60}=\frac{2}{120} =1/60 $

See similar equations:

| (4x)3=112 | | 82-x-33=35 | | 2x+7-5x+8=3(5+6x-12x | | 9x+13=6x | | 82−x−33=35 | | 20x-18x=14 | | -6(8v-3)=22 | | (3x+5)=(2x^2) | | 2x÷8=90 | | 10x-3=8x+21 | | 0=-4x^2-8x | | -7n-5n=-23 | | -7x=3x+19 | | 32=1/3x= | | -21=4b+19-(-6) | | 5a+3-6=23 | | 6b2=12b | | y+4y=32/y=8 | | x+7.8=11.9 | | 40-5x=3x-16 | | 19+4.5x=10+5.75x | | 11x-6=12x+2 | | 5(2x+8)x=3 | | 18=1.5+y= | | 12=f/8 | | x.4x=69.24* | | 8x-23x=40 | | 3x+5=112 | | w/11=9 | | 2(7-x)=3(x) | | 2/5r+4=-4 | | x.12x=15.80* |

Equations solver categories