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−55=14X3+73 -55 = \frac{1}{4}X^{3} + 73

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Full solution

Q. −55=14X3+73 -55 = \frac{1}{4}X^{3} + 73
  1. Subtract 7373 from both sides: Subtract 7373 from both sides to isolate the term with XX.\newline−55−73=(14)X3-55 - 73 = (\frac{1}{4})X^3
  2. Calculate left side: Calculate the left side of the equation.\newline−55−73=−128-55 - 73 = -128
  3. Multiply by 44: Now we have −128=(14)X3-128 = (\frac{1}{4})X^3. Multiply both sides by 44 to get rid of the fraction. 4×−128=X34 \times -128 = X^3
  4. Calculate multiplication: Calculate the multiplication. 4×−128=−5124 \times -128 = -512
  5. Take cube root: Now we have −512=X3-512 = X^3. Take the cube root of both sides to solve for XX. X=(−512)1/3X = (-512)^{1/3}
  6. Calculate cube root: Calculate the cube root of −512-512.\newlineX=−8X = -8

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