Solve for m 33=7+m^3

$33 = 7 + m^{3}$

Step 1

Rewrite the equation as $7 + m^{3} = 33$ .

$7 + m^{3} = 33$

Step 2

Move all terms not containing $m$ to the right side of the equation.

Subtract $7$ from both sides of the equation.

$m^{3} = 33 - 7$

Subtract $7$ from $33$ .

$m^{3} = 26$

Step 3

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$m = \sqrt[3]{26}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$m = \sqrt[3]{26}$

Decimal Form:

$m = 2.96249606 \dots$