An equation which shows a valid step that can be used to solve the given mathematical equation is [tex](\sqrt[3]{2x - 6})^3 = (-\sqrt[3]{2x + 6})^3[/tex]
What is an equation?
An equation simply refers to a mathematical expression that can be used to show the relationship existing between two (2) or more numerical quantities.
In this exercise, you're required to show a valid step which can be used to solve the given mathematical equation. Since both equations are having a cube root, the first step is to take the cube of both sides.
Take the cube of both sides, we have:
[tex]\sqrt[3]{2x - 6} + \sqrt[3]{2x + 6} = 0\\\\(\sqrt[3]{2x - 6})^3 + (\sqrt[3]{2x + 6})^3 = 0^3\\\\(\sqrt[3]{2x - 6})^3 = (-\sqrt[3]{2x + 6})^3[/tex]
Read more on equations here: brainly.com/question/13170908
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