Question

Ariel is trying to determine if x=−3
is a solution to the quadratic equation −3x2−9x=0
. Which explanation demonstrates the correct reasoning?(1 point)

Yes, x=−3
is a solution because substituting it back into the equation results in the following:

This table shows the evaluation of an expression for a specific value of x, demonstrating the substitution, the resulting calculation, and the confirmation that the statement is true.
x Substituted Evaluate True Statement?
−3
−3(−3)2−9(−3)=0
54=0
True

No, x=−3
is not a solution because substituting it back into the equation results in the following:

This table shows the evaluation of an expression for a specific value of x, demonstrating the substitution, the resulting calculation, and the confirmation that the statement is true.
x Substituted Evaluate True Statement?
−3
−3(−3)2−9(−3)=0
−54≠0
False

No, x=−3
is not a solution because substituting it back into the equation results in the following:


This table shows the evaluation of an expression for a specific value of x, demonstrating the substitution, the resulting calculation, and the confirmation that the statement is true.
x Substituted Evaluate True Statement?
−3
−3(−3)2−9(−3)=0
54≠0
False

Yes, x=−3
is a solution because substituting it back into the equation results in the following:

This table shows the evaluation of an expression for a specific value of x, demonstrating the substitution, the resulting calculation, and the confirmation that the statement is true.
x Substituted Evaluate True Statement?
−3
−3(−3)2−9(−3)=0
0=0
True

Answer 1

Yes — the fourth explanation is correct.

Substitute x = −3:
−3(−3)^2 − 9(−3) = −3(9) + 27 = −27 + 27 = 0,
so 0 = 0 and x = −3 is a solution.