(-3/4)x=-21/28

Solution for (-3/4)x=-21/28 equation:

(-3/4)x=-21/28

We move all terms to the left:

(-3/4)x-(-21/28)=0


Domain of the equation: 4)x!=0

x!=0/1

x!=0

x∈R


We multiply parentheses

-3x^2-(-21/28)=0

We get rid of parentheses

-3x^2+21/28=0

We multiply all the terms by the denominator


-3x^2*28+21=0

Wy multiply elements

-84x^2+21=0

a = -84; b = 0; c = +21;
Δ = b2-4ac
Δ = 02-4·(-84)·21
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84}{2*-84}=\frac{-84}{-168}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84}{2*-84}=\frac{84}{-168}
=-1/2
$