What is the answer to |x^2-8x|=9x ?

The answer to |x^2-8x|=9x is x=0\lor x=17

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|x^2-8x|=9x

x^{2} - 8 x = 9 x

x = 0 or x = 17

Solution steps

x^{2} - 8 x = 9 x

Find positive and negative intervals

x \leq 0, 0 < x < 8, x \geq 8

Solve the inequality for each interval

x = 0 or No Solution or x = 17

x = 0 or x = 17

\frac{2 x}{5} = \frac{x + 4}{3}

1 + 2 x + x^{2} = 0

5 x^{2} + 50 x = - 125

X - 12 = 14

1 + \frac{0.25}{100}