-x2 + 2x + 48
= (x +6)(8 - x)
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-x2 + 2x + 48 = (-x - 6)(x - 8)
-x2 + 2x + 48 = (-x - 6)(x - 8) = -(x + 6)(x - 8)
x2 + 2x - 48 = x2 + 8x - 6x - 48 = x(x + 8) - 6(x + 8) = (x - 6)(x + 8)
5x + 2x + 6 = 48 7x + 6 = 48 ....Because you simplify 5x + 2x 7x = 42 ....Because you subtract 6 from both sides to help isolate x x = 6 ....Because you divide both sides by 7 to isolate the x.
The prime factorization of 48 is 2x2x2x2x3, or 24x3 in exponential form.