-5x(2x+14)=-2(x+63)

Solution for -5x(2x+14)=-2(x+63) equation:

-5x(2x+14)=-2(x+63)

We move all terms to the left:

-5x(2x+14)-(-2(x+63))=0

We multiply parentheses

-10x^2-70x-(-2(x+63))=0


We calculate terms in parentheses: -(-2(x+63)), so:

-2(x+63)

We multiply parentheses

-2x-126

Back to the equation:

-(-2x-126)


We get rid of parentheses

-10x^2-70x+2x+126=0

We add all the numbers together, and all the variables

-10x^2-68x+126=0

a = -10; b = -68; c = +126;
Δ = b2-4ac
Δ = -682-4·(-10)·126
Δ = 9664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{9664}=\sqrt{64*151}=\sqrt{64}*\sqrt{151}=8\sqrt{151}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-68)-8\sqrt{151}}{2*-10}=\frac{68-8\sqrt{151}}{-20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-68)+8\sqrt{151}}{2*-10}=\frac{68+8\sqrt{151}}{-20}
$