4x(2)=(-3x)

Solution for 4x(2)=(-3x) equation:

4x(2)=(-3x)

We move all terms to the left:

4x(2)-((-3x))=0

We add all the numbers together, and all the variables

4x^2-((-3x))=0


We calculate terms in parentheses: -((-3x)), so:

(-3x)

We get rid of parentheses

-3x

Back to the equation:

-(-3x)


We get rid of parentheses

4x^2+3x=0

a = 4; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·4·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*4}=\frac{-6}{8}
=-3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*4}=\frac{0}{8}
=0
$