Question

Solve for all values of xx by factoring.
x, squared, plus, 2, x, minus, 76, equals, 4
x
2
+2x−76=
4

Answer 1

Start with
x^2 + 2x − 76 = 4.

Move 4 to the left:
x^2 + 2x − 80 = 0.

Factor:
x^2 + 2x − 80 = (x + 10)(x − 8) = 0.

By the zero-product property:
x + 10 = 0 → x = −10
x − 8 = 0 → x = 8

Solutions: x = −10 or x = 8.