5(x2-)=3x+14

Solution for 5(x2-)=3x+14 equation:

5(x2-)=3x+14

We move all terms to the left:

5(x2-)-(3x+14)=0

We add all the numbers together, and all the variables

5(+x^2-)-(3x+14)=0

We multiply parentheses

5x^2-(3x+14)+=0

We get rid of parentheses

5x^2-3x-14+=0

We add all the numbers together, and all the variables

5x^2-3x=0

a = 5; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·5·0
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*5}=\frac{0}{10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*5}=\frac{6}{10}
=3/5
$