Let
x-------> the number
we know that
1) The expression "the product of \(6\) and the square of a number", represent the equation
\(6x^{2}\)
2) The expression " increased by \(5\) times the number", represent the equation
\(+5x\)
3) The complete expression "the product of \(6\) and the square of a number is increased by \(5\) times the number, the result is \(4\) ", represent the equation
\(6x^{2}+5x=4\) --------> \(6x^{2}+5x-4=0\)
therefore
the answer is the option
\(6x^{2}+5x-4=0\)
