Answer:
x = 0 or x = -7
Step-by-step explanation:
Solve for x over the real numbers:
6 x^2 = -42 x
Add 42 x to both sides:
6 x^2 + 42 x = 0
Factor x and constant terms from the left hand side:
6 x (x + 7) = 0
Divide both sides by 6:
x (x + 7) = 0
Split into two equations:
x = 0 or x + 7 = 0
Subtract 7 from both sides:
Answer: x = 0 or x = -7
