5x^2 + 35 =(5x^2 - 9) how many solutions does the equation below have

Answer 1

To determine how many solutions the equation \(5x^2 + 35 = 5x^2 - 9\) has, we can start by simplifying the equation.

1. Subtract \(5x^2\) from both sides: \[ 35 = -9 \]
2. This simplifies to: \[ 35 + 9 = 0 \quad \text{or} \quad 44 = 0 \]

This is a contradiction, as \(44\) does not equal \(0\). Therefore, the original equation has no solutions.

Thus, the answer is that the equation has 0 solutions.