4× 16^x=8^²-x =?
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Step-by-step explanation:
The equation is quickly simplified by applying the identity a² - b² = (a + b)(a - b):
16x² = 4x,
and dividing by 4 and equaling to zero,
x² - 8x = 0.
Factoring,
x(x - 8) = 0.
This product is 0 if and only if x = 0 or x = 8, and these are the solutions of the given equation.
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