Question

1. $6w^{3}-9=153$

Explanation:

Step1: Isolate the variable term

Add 9 to both sides.
$6w^3 - 9 + 9 = 153 + 9$
$6w^3 = 162$

Step2: Solve for $w^3$

Divide both sides by 6.
$w^3 = \frac{162}{6}$
$w^3 = 27$

Step3: Find $w$

Take cube root of both sides.
$w = \sqrt[3]{27}$

Answer:

$w = 3$