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Solve the equation (x+7)^(3)+8=16

Solve the equation (x+7)3+8=16 (x+7)^{3}+8=16

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Full solution

Q. Solve the equation (x+7)3+8=16 (x+7)^{3}+8=16
  1. Subtract 88: Subtract 88 from both sides of the equation to isolate the cubic term.\newline(x+7)3+8−8=16−8(x+7)^3 + 8 - 8 = 16 - 8\newlineSimplify the equation.\newline(x+7)3=8(x+7)^3 = 8
  2. Simplify equation: Take the cube root of both sides of the equation to solve for (x+7)(x+7).(x+7)33=83\sqrt[3]{(x+7)^3} = \sqrt[3]{8}Simplify the cube root.x+7=2x+7 = 2
  3. Take cube root: Subtract 77 from both sides of the equation to solve for xx.\newlinex+7−7=2−7x + 7 - 7 = 2 - 7\newlineSimplify the equation.\newlinex=−5x = -5

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