May someone help me ASAP? This is polynomial Equations= 2x^3-64=x^3+61 Whoever can help me please have explained it as well.

x = 5

Step-by-step explanation:

2x³ – 64 = x³ + 61

We need to solve this for x, right? Let's get started by isolating x.

First, we need to isolate one of the x-terms, either by adding 64 or subtracting 61. Here, I chose to add 64, since I find negatives tricky:

2x³ – 64 + 64 = x³ + 61 + 64

2x³ = x³ + 125  — simplifying the expression

Now, we need to isolate the x³. We can do this by subtracting the x³ from both sides:

2x³ – x³ = x³ – x³ + 125

x³ = 125  — simplifying

Now all we need to do is take the cube root of both sides to find x

∛(x³) = ∛(125)

x = 5  — simplifying

Here we go! The answer is 5!

Hope this helps you understand! Have a great day!