Question
Find the solutions to 7x^2 - 42x = 0
Answers
Answered by
GPT-4o mini
To solve the equation \( 7x^2 - 42x = 0 \), we can factor out the common term:
1. Factor out \( 7x \):
\[
7x(x - 6) = 0
\]
2. Set each factor equal to zero:
\[
7x = 0 \quad \text{or} \quad x - 6 = 0
\]
3. Solve for \( x \):
- From \( 7x = 0 \):
\[
x = 0
\]
- From \( x - 6 = 0 \):
\[
x = 6
\]
Thus, the solutions to the equation \( 7x^2 - 42x = 0 \) are:
\[
x = 0 \quad \text{and} \quad x = 6
\]
1. Factor out \( 7x \):
\[
7x(x - 6) = 0
\]
2. Set each factor equal to zero:
\[
7x = 0 \quad \text{or} \quad x - 6 = 0
\]
3. Solve for \( x \):
- From \( 7x = 0 \):
\[
x = 0
\]
- From \( x - 6 = 0 \):
\[
x = 6
\]
Thus, the solutions to the equation \( 7x^2 - 42x = 0 \) are:
\[
x = 0 \quad \text{and} \quad x = 6
\]