What is the answer to |6x^2-5x-1|=5x-6x^2+1 ?

The answer to |6x^2-5x-1|=5x-6x^2+1 is -1/6 <= x<= 1

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|6x^2-5x-1|=5x-6x^2+1

6 x^{2} - 5 x - 1 = 5 x - 6 x^{2} + 1

- \frac{1}{6} \leq x \leq 1

Solution steps

6 x^{2} - 5 x - 1 = 5 x - 6 x^{2} + 1

Find positive and negative intervals

x \leq - \frac{1}{6}, - \frac{1}{6} < x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{1}{6} or - \frac{1}{6} < x < 1 or x = 1

Merge Overlapping Intervals

- \frac{1}{6} \leq x \leq 1

∣ x - 1 ∣ + ∣ x - 5 ∣ = 6

(x) = (∣ x - 5 ∣ + 1 + x) 5 - x

x^{2} - 7 x = x - 12

x ∣ x + 2 ∣ = ∣ 4 - x ∣

∣ x ∣ + ∣ y ∣ = 2

What is the answer to |6x^2-5x-1|=5x-6x^2+1 ?
The answer to |6x^2-5x-1|=5x-6x^2+1 is -1/6 <= x<= 1
Solve for x: |6x^2-5x-1|=5x-6x^2+1
The solution is -1/6 <= x<= 1