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

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



(x+10)(x+14)=(x+14)(x-10)
We move all terms to the left:
(x+10)(x+14)-((x+14)(x-10))=0
We multiply parentheses ..
(+x^2+14x+10x+140)-((x+14)(x-10))=0
We calculate terms in parentheses: -((x+14)(x-10)), so:
(x+14)(x-10)
We multiply parentheses ..
(+x^2-10x+14x-140)
We get rid of parentheses
x^2-10x+14x-140
We add all the numbers together, and all the variables
x^2+4x-140
Back to the equation:
-(x^2+4x-140)
We get rid of parentheses
x^2-x^2+14x+10x-4x+140+140=0
We add all the numbers together, and all the variables
20x+280=0
We move all terms containing x to the left, all other terms to the right
20x=-280
x=-280/20
x=-14

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