Find the x-intercept of the graph
To find the x-intercepts, make y = 0.
Draw a generic rectangle and diamond.
Labels added to generic rectangle, interior top right, negative 6, interior bottom left, 5 x squared. Labels added to diamond, top, negative 30 x squared, bottom, 7 x. Set y = 0.
0 = 5x² + 7x − 6
The missing numbers in the square should equal 7x.
Labels added to generic rectangle, interior top left, 10 x, interior bottom right, negative 3 x, Labels added to diamond, left, 10 x, right, negative 3 x.
0 = (x + 2)(5x − 3)
Labels added to generic rectangle, left edge top, 2, left edge bottom, x, bottom edge left, 5 x, bottom edge right, negative 3.
x + 2 = 0 or 5x − 3 = 0
x = −2
Substitute the a, b, and c values of the expression into the quadratic formula.
Finish the rest yourself and show that both methods give the same answer.