(t-2)(t+5)=t-2(t+5)

Solution for (t-2)(t+5)=t-2(t+5) equation:

(t-2)(t+5)=t-2(t+5)

We move all terms to the left:

(t-2)(t+5)-(t-2(t+5))=0

We multiply parentheses ..

(+t^2+5t-2t-10)-(t-2(t+5))=0


We calculate terms in parentheses: -(t-2(t+5)), so:

t-2(t+5)

We multiply parentheses

t-2t-10

We add all the numbers together, and all the variables

-1t-10

Back to the equation:

-(-1t-10)


We get rid of parentheses

t^2+5t-2t+1t-10+10=0

We add all the numbers together, and all the variables

t^2+4t=0

a = 1; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·1·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*1}=\frac{-8}{2}
=-4
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*1}=\frac{0}{2}
=0
$