Math Problem Statement

Solve: 5(2 – g) = 0

Solution

To solve the equation 5(2g)=05(2 - g) = 0, follow these steps:

Step 1: Divide both sides by 5

Since the coefficient of the term is 5, divide both sides by 5 to simplify:

5(2g)5=05\frac{5(2 - g)}{5} = \frac{0}{5}

This simplifies to:

2g=02 - g = 0

Step 2: Solve for gg

Now, subtract 2 from both sides:

2g2=022 - g - 2 = 0 - 2

g=2-g = -2

Step 3: Multiply both sides by -1

To isolate gg, multiply both sides by -1:

g=2g = 2

Thus, the solution is g=2g = 2.

Would you like more details or have any other questions?

Here are 5 related questions:

  1. How do you solve equations involving parentheses and constants?
  2. What happens when a coefficient in an equation equals zero?
  3. Can you solve the equation 4(3x)=124(3 - x) = 12?
  4. How do you check if your solution to an equation is correct?
  5. How do you solve multi-step equations with variables on both sides?

Tip: Always simplify equations step by step to avoid errors when solving for a variable.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Distributive property
Solving linear equations

Theorems

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Suitable Grade Level

Grades 6-8