Solve the equation 40 = x²  3x
40 = x²  3x
x²  3x  40 = 0 {subtracted 40 from each side} (x  8)(x + 5) = 0 {factored into two binomials} x  8 = 0 or x + 5 = 0 {set each factor equal to zero} x = 8 or x = 5 {solved each equation for x} 8 or 5 could each be a solution to the equation. You could also graph the equation, with a graphing calculator, and see where it hits the xaxis. The solutions to the equation represent the xintercepts, because the value of y is equal to zero.
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