-7/8x+15/4x=299/32

Solution for -7/8x+15/4x=299/32 equation:

-7/8x+15/4x=299/32

We move all terms to the left:

-7/8x+15/4x-(299/32)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We add all the numbers together, and all the variables

-7/8x+15/4x-(+299/32)=0

We get rid of parentheses

-7/8x+15/4x-299/32=0

We calculate fractions


(-38272x^2)/3072x^2+(-2688x)/3072x^2+11520x/3072x^2=0

We multiply all the terms by the denominator


(-38272x^2)+(-2688x)+11520x=0

We add all the numbers together, and all the variables

(-38272x^2)+11520x+(-2688x)=0

We get rid of parentheses

-38272x^2+11520x-2688x=0

We add all the numbers together, and all the variables

-38272x^2+8832x=0

a = -38272; b = 8832; c = 0;
Δ = b2-4ac
Δ = 88322-4·(-38272)·0
Δ = 78004224
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{78004224}=8832$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8832)-8832}{2*-38272}=\frac{-17664}{-76544}
=3/13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8832)+8832}{2*-38272}=\frac{0}{-76544}
=0
$