Y=(-7m-7)(-5m+5)

Solution for Y=(-7m-7)(-5m+5) equation:

=(-7Y-7)(-5Y+5)

We move all terms to the left:

-((-7Y-7)(-5Y+5))=0

We multiply parentheses ..

-((+35Y^2-35Y+35Y-35))=0


We calculate terms in parentheses: -((+35Y^2-35Y+35Y-35)), so:

(+35Y^2-35Y+35Y-35)

We get rid of parentheses

35Y^2-35Y+35Y-35

We add all the numbers together, and all the variables

35Y^2-35

Back to the equation:

-(35Y^2-35)


We get rid of parentheses

-35Y^2+35=0

a = -35; b = 0; c = +35;
Δ = b2-4ac
Δ = 02-4·(-35)·35
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-70}{2*-35}=\frac{-70}{-70}
=1
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+70}{2*-35}=\frac{70}{-70}
=-1
$