(x+10)(x+14)=(x+14)(x-20)

Solution for (x+10)(x+14)=(x+14)(x-20) equation:

(x+10)(x+14)=(x+14)(x-20)

We move all terms to the left:

(x+10)(x+14)-((x+14)(x-20))=0

We multiply parentheses ..

(+x^2+14x+10x+140)-((x+14)(x-20))=0


We calculate terms in parentheses: -((x+14)(x-20)), so:

(x+14)(x-20)

We multiply parentheses ..

(+x^2-20x+14x-280)

We get rid of parentheses

x^2-20x+14x-280

We add all the numbers together, and all the variables

x^2-6x-280

Back to the equation:

-(x^2-6x-280)


We get rid of parentheses

x^2-x^2+14x+10x+6x+140+280=0

We add all the numbers together, and all the variables

30x+420=0

We move all terms containing x to the left, all other terms to the right

30x=-420

x=-420/30

x=-14