Determine the solution: 6x^2 = - 42x

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