Final answer:
To find the value of x in the given expression (6x+20)(8x-10), expand and simplify the expression by multiplying the binomials using the distributive property, then combine like terms.
Step-by-step explanation:
To find the value of x in the given expression, (6x+20)(8x-10), we need to expand and simplify it.
Multiplying the two binomials using the distributive property:
(6x+20)(8x-10) = 6x * 8x + 6x * (-10) + 20 * 8x + 20 * (-10) = 48x^2 - 60x + 160x - 200
Combining like terms, we get:
48x^2 + 100x - 200
Therefore, the value of x in the given expression is 48x^2 + 100x - 200.