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To solve the equation –2x^2 – 4 = –8x using tables, we need to create a table to find the values of x where the equation is true.
First, let's rewrite the equation in standard form by moving all the terms to one side:
–2x^2 + 8x - 4 = 0
Now, let's create a table and evaluate the equation for different values of x:
| x | –2x^2 + 8x - 4 |
|----|----------------|
| -2 | -8 |
| -1 | 0 |
| 0 | -4 |
| 1 | 2 |
| 2 | 4 |
| 3 | 0 |
From the table, we can see that the equation is true for x = -1 and x = 3.
Therefore, the solution to the equation –2x^2 – 4 = –8x is x = -1 and x = 3.