=(7+h)(7+h)(7+h)

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Solution for =(7+h)(7+h)(7+h) equation: 


Simplifying
0 = (7 + h)(7 + h)(7 + h)

Multiply (7 + h) * (7 + h)
0 = (7(7 + h) + h(7 + h))(7 + h)
0 = ((7 * 7 + h * 7) + h(7 + h))(7 + h)
0 = ((49 + 7h) + h(7 + h))(7 + h)
0 = (49 + 7h + (7 * h + h * h))(7 + h)
0 = (49 + 7h + (7h + h2))(7 + h)

Combine like terms: 7h + 7h = 14h
0 = (49 + 14h + h2)(7 + h)

Multiply (49 + 14h + h2) * (7 + h)
0 = (49(7 + h) + 14h * (7 + h) + h2(7 + h))
0 = ((7 * 49 + h * 49) + 14h * (7 + h) + h2(7 + h))
0 = ((343 + 49h) + 14h * (7 + h) + h2(7 + h))
0 = (343 + 49h + (7 * 14h + h * 14h) + h2(7 + h))
0 = (343 + 49h + (98h + 14h2) + h2(7 + h))
0 = (343 + 49h + 98h + 14h2 + (7 * h2 + h * h2))
0 = (343 + 49h + 98h + 14h2 + (7h2 + h3))

Combine like terms: 49h + 98h = 147h
0 = (343 + 147h + 14h2 + 7h2 + h3)

Combine like terms: 14h2 + 7h2 = 21h2
0 = (343 + 147h + 21h2 + h3)

Solving
0 = 343 + 147h + 21h2 + h3

Solving for variable 'h'.

Combine like terms: 0 + -343 = -343
-343 + -147h + -21h2 + -1h3 = 343 + 147h + 21h2 + h3 + -343 + -147h + -21h2 + -1h3

Reorder the terms:
-343 + -147h + -21h2 + -1h3 = 343 + -343 + 147h + -147h + 21h2 + -21h2 + h3 + -1h3

Combine like terms: 343 + -343 = 0
-343 + -147h + -21h2 + -1h3 = 0 + 147h + -147h + 21h2 + -21h2 + h3 + -1h3
-343 + -147h + -21h2 + -1h3 = 147h + -147h + 21h2 + -21h2 + h3 + -1h3

Combine like terms: 147h + -147h = 0
-343 + -147h + -21h2 + -1h3 = 0 + 21h2 + -21h2 + h3 + -1h3
-343 + -147h + -21h2 + -1h3 = 21h2 + -21h2 + h3 + -1h3

Combine like terms: 21h2 + -21h2 = 0
-343 + -147h + -21h2 + -1h3 = 0 + h3 + -1h3
-343 + -147h + -21h2 + -1h3 = h3 + -1h3

Combine like terms: h3 + -1h3 = 0
-343 + -147h + -21h2 + -1h3 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(343 + 147h + 21h2 + h3) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(343 + 147h + 21h2 + h3)' equal to zero and attempt to solve:

Simplifying
343 + 147h + 21h2 + h3 = 0

Solving
343 + 147h + 21h2 + h3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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