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Question

^3squareroot 2x+7  +5=0

Answer 1

Let's solve this algebraic equation step by step. We start with the original equation.

∛(2x+7) + 5 = 0

To solve for x, we want it by itself. To do this, we should first get rid of the 5 by subtracting it from both sides.

∛(2x + 7) + 5 - 5 = 0 - 5

∛(2x + 7) = -5

To get rid of the cube root, we can raise both sides of the equation to the 3rd power.

(∛(2x + 7))³ = (-5)³

2x + 7 = -125

Let's now subtract 7 from both sides and then divide by 2.

2x + 7 = -125

2x + 7 - 7 = -125 - 7

2x = -132

2x / 2= -132 / 2

x = -66

The solution to the equation is x = -66.