What is the answer to 2(x^2-4)=3x|x+3| ?

The answer to 2(x^2-4)=3x|x+3| is x=-1

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2(x^2-4)=3x|x+3|

2 (x^{2} - 4) = 3 x ∣ x + 3 ∣

x = - 1

Solution steps

2 (x^{2} - 4) = 3 x ∣ x + 3 ∣

Find positive and negative intervals

x < - 3, x \geq - 3

Solve the inequality for each interval

No Solution or x = - 1

x = - 1

∣ q - 5 ∣ = 5

∣ 3 y - 9 ∣ = 2 y + 7

∣ x ∣ - 3 = 6

∣ x - 3 ∣ = 12 - 2 x

x^{2} - 3 = 0