Possible methods include substitution and graphing.

y = 5x² + 7x − 6
y = 0

To use substitution set the two equations equal to each other.

5x² + 7x − 6 = 0

Solve for x using the quadratic formula or by completing the square.

Use the Quadratic Formula:

$x= \frac{-7±\sqrt{7^2 - 4(5)(-6)}}{(2)(5)}$

x = 0.6 and −2

2 points of intersection