x^3+7x^2+12h-126=0

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Solution for x^3+7x^2+12h-126=0 equation:


Simplifying
x3 + 7x2 + 12h + -126 = 0

Reorder the terms:
-126 + 12h + 7x2 + x3 = 0

Solving
-126 + 12h + 7x2 + x3 = 0

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '126' to each side of the equation.
-126 + 12h + 7x2 + 126 + x3 = 0 + 126

Reorder the terms:
-126 + 126 + 12h + 7x2 + x3 = 0 + 126

Combine like terms: -126 + 126 = 0
0 + 12h + 7x2 + x3 = 0 + 126
12h + 7x2 + x3 = 0 + 126

Combine like terms: 0 + 126 = 126
12h + 7x2 + x3 = 126

Add '-7x2' to each side of the equation.
12h + 7x2 + -7x2 + x3 = 126 + -7x2

Combine like terms: 7x2 + -7x2 = 0
12h + 0 + x3 = 126 + -7x2
12h + x3 = 126 + -7x2

Add '-1x3' to each side of the equation.
12h + x3 + -1x3 = 126 + -7x2 + -1x3

Combine like terms: x3 + -1x3 = 0
12h + 0 = 126 + -7x2 + -1x3
12h = 126 + -7x2 + -1x3

Divide each side by '12'.
h = 10.5 + -0.5833333333x2 + -0.08333333333x3

Simplifying
h = 10.5 + -0.5833333333x2 + -0.08333333333x3

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