10(line)2-4a(line)=20

Absolute value
How do I solve this equation?

Are you saying

|2-4a| = 20 ????

if so, then
2-4a = 20 or 2-4a = -20
-4a = 18 or -4a = -22
a = -9/2 or a = 11/2

sure

To solve the equation 10(line)2-4a(line)=20 for the variable a(line), you need to isolate the variable on one side of the equation. Here's the step-by-step process:

1. Start by moving any constants to the opposite side of the equation. In this case, move 20 to the right side:
10(line)2 - 4a(line) = 20 -> 10(line)2 - 4a(line) - 20 = 0

2. Simplify the left side of the equation if possible. In this case, there's nothing to simplify.

3. Now, we need to eliminate the absolute value. To do so, we'll consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: When the expression inside the absolute value is positive.
The equation remains the same:
10(line)2 - 4a(line) - 20 = 0

Case 2: When the expression inside the absolute value is negative.
We change the sign inside the absolute value and rewrite the equation:
10(line)2 + 4a(line) - 20 = 0

4. Solve each case separately.

Case 1:
10(line)2 - 4a(line) - 20 = 0
Simplify the equation if needed, then solve for a(line).

Case 2:
10(line)2 + 4a(line) - 20 = 0
Simplify the equation if needed, then solve for a(line).

After solving each case separately, you will end up with one or more solutions for a(line) depending on the outcome.