Let's start by distributing both terms in the equation:
(х+10)(х-5) = x^2 - 5x + 10x - 50 = x^2 + 5x - 50
(х-6)(х+3) = x^2 + 3x - 6x - 18 = x^2 - 3x - 18
Now, we can substitute these results back into the original equation:
(x^2 + 5x - 50) - (x^2 - 3x - 18) = 16
Open the parentheses:
x^2 + 5x - 50 - x^2 + 3x + 18 = 16
Simplify the equation:
8x - 32 = 16
Add 32 to both sides:
8x = 48
Divide by 8:
x = 6
Therefore, the solution to the equation is x = 6.
Let's start by distributing both terms in the equation:
(х+10)(х-5) = x^2 - 5x + 10x - 50 = x^2 + 5x - 50
(х-6)(х+3) = x^2 + 3x - 6x - 18 = x^2 - 3x - 18
Now, we can substitute these results back into the original equation:
(x^2 + 5x - 50) - (x^2 - 3x - 18) = 16
Open the parentheses:
x^2 + 5x - 50 - x^2 + 3x + 18 = 16
Simplify the equation:
8x - 32 = 16
Add 32 to both sides:
8x = 48
Divide by 8:
x = 6
Therefore, the solution to the equation is x = 6.