Find the value of x
(11x-15) (5x-13)
20
To find the value of x, we need to solve the equation:
(11x-15)(5x-13) = 0
Since the product of two factors is equal to zero, either one of the factors must be equal to zero:
1) 11x - 15 = 0
Adding 15 to both sides gives:
11x = 15
Dividing both sides by 11 gives:
x = 15/11
2) 5x - 13 = 0
Adding 13 to both sides gives:
5x = 13
Dividing both sides by 5 gives:
x = 13/5
Therefore, the two possible values of x are 15/11 and 13/5.
To find the value of x in the expression (11x-15)(5x-13), we need to expand the expression using the distributive property.
First, distribute 11x to both terms inside the second parentheses:
11x * 5x = 55x^2
11x * -13 = -143x
Next, distribute -15 to both terms inside the second parentheses:
-15 * 5x = -75x
-15 * -13 = 195
Now, combine the like terms:
55x^2 - 143x - 75x + 195
Simplify:
55x^2 - 218x + 195
So the expanded form of the expression is 55x^2 - 218x + 195.
However, it is not possible to find a single numerical value for x from this expression. The result is a quadratic equation. If you have additional information or conditions, such as the expression being equal to zero or given values of the variables, we can solve for x using factoring, completing the square, or using the quadratic formula.