Solve the Linear Equation: 5b + 300b = 0 Step-by-Step

Question

5b+300b=0 5b+300b=0

b=? b=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Factoring
00:07 We want to isolate the unknown B
00:10 Let's isolate the unknown B
00:13 0 divided by any number is always equal to 0
00:17 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the like terms on the left-hand side of the equation.
  • Step 2: Combine like terms.
  • Step 3: Simplify the equation.
  • Step 4: Solve the equation for bb.

Now, let's work through each step:

Step 1: The given equation is 5b+300b=05b + 300b = 0.

Step 2: Combine like terms:

5b+300b=(5+300)b=305b5b + 300b = (5 + 300)b = 305b

So, the equation becomes 305b=0305b = 0.

Step 3: Since 305b=0305b = 0, we can solve for bb using the property of zero product:

If 305×b=0305 \times b = 0, then bb must be 00 because 3050305 \neq 0.

Therefore, the solution to the problem is b=0b = 0.

Answer

0 0