QQuestionMathematics
QuestionMathematics
Solve 3x^2 = 6x by rewriting the equation. Show your reasoning.
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this equation step by step, following the specified LaTeX formatting guidelines:
Step 2:: Rearrange the equation to standard form
3x^{2} - 6x = 0
First, move all terms to one side of the equation:
Step 3:: Factor out the common term
x(3x - 6) = 0
Notice that x is a common factor in both terms:
Step 4:: Apply the zero product property
• $$3x - 6 = 0
When a product of factors is zero, at least one factor must be zero. This means either:
Step 5:: Solve the second factor
x = 2
• Add 6 to both sides • Divide both sides by 3
Final Answer
x = 2. Verification: • For x = 0: 3(0)^{2} = 6(0) ✓ • For x = 2: 3(2)^{2} = 6(2) ✓
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students