To solve this equation, we can first distribute the terms in each set of parentheses:
(х-13)(8х+4) = 8х^2 + 4х - 104х - 52 = 8х^2 - 100х - 52
(х-13)(7х-3) = 7х^2 - 3х - 91х + 39 = 7х^2 - 94х + 39
Now we can substitute these expressions back into the original equation:
8х^2 - 100х - 52 - (7х^2 - 94х + 39) = 0
Simplifying further:
8х^2 - 100х - 52 - 7х^2 + 94х - 39 = 0x^2 - 6x - 91 = 0
Now we have a quadratic equation that we can solve. Factoring or using the quadratic formula, we get:
(x - 13)(x + 7) = 0x = 13 or x = -7
Therefore, the solutions to the equation are x = 13 or x = -7.
To solve this equation, we can first distribute the terms in each set of parentheses:
(х-13)(8х+4) = 8х^2 + 4х - 104х - 52 = 8х^2 - 100х - 52
(х-13)(7х-3) = 7х^2 - 3х - 91х + 39 = 7х^2 - 94х + 39
Now we can substitute these expressions back into the original equation:
8х^2 - 100х - 52 - (7х^2 - 94х + 39) = 0
Simplifying further:
8х^2 - 100х - 52 - 7х^2 + 94х - 39 = 0
x^2 - 6x - 91 = 0
Now we have a quadratic equation that we can solve. Factoring or using the quadratic formula, we get:
(x - 13)(x + 7) = 0
x = 13 or x = -7
Therefore, the solutions to the equation are x = 13 or x = -7.