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:

x = 0 or x = -7

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).