What is the answer to 2x^2+|6x-12|=252+8x ?

The answer to 2x^2+|6x-12|=252+8x is x=-8\lor x=12

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2x^2+|6x-12|=252+8x

2 x^{2} + ∣ 6 x - 12 ∣ = 252 + 8 x

x = - 8 or x = 12

Solution steps

2 x^{2} + ∣ 6 x - 12 ∣ = 252 + 8 x

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - 8 or x = 12

∣ x + 5 ∣ - 8 = 8

7.5 \times (- ∣ 2 x ∣ - 5) = - 112.5

∣ 10 x + 5 ∣ = ∣ 5 x + 10 ∣

y, x^{2} + (y - ∣ x ∣)^{2} = 1

∣ 5 x + 1 ∣ = 6

What is the answer to 2x^2+|6x-12|=252+8x ?
The answer to 2x^2+|6x-12|=252+8x is x=-8\lor x=12
Solve for x: 2x^2+|6x-12|=252+8x
The solution is x=-8\lor x=12