What is the answer to |x^2-5x|=7x ?

The answer to |x^2-5x|=7x is x=0\lor x=12

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|x^2-5x|=7x

x^{2} - 5 x = 7 x

x = 0 or x = 12

Solution steps

x^{2} - 5 x = 7 x

Find positive and negative intervals

x \leq 0, 0 < x < 5, x \geq 5

Solve the inequality for each interval

x = 0 or No Solution or x = 12

x = 0 or x = 12

35 > 5 + 6 x

2 x - \frac{1}{2} > \frac{3}{2}

1 + 5 (x - 8) \leq 2 - (x + 5)

u^{3} - u^{3} x^{4}

[\frac{\frac{3}{2}}{( - 3 )}]