7x^4-12x^2+9=0

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Solution for 7x^4-12x^2+9=0 equation:


Simplifying
7x4 + -12x2 + 9 = 0

Reorder the terms:
9 + -12x2 + 7x4 = 0

Solving
9 + -12x2 + 7x4 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
7 the coefficient of the squared term: 

Divide each side by '7'.
1.285714286 + -1.714285714x2 + x4 = 0

Move the constant term to the right:

Add '-1.285714286' to each side of the equation.
1.285714286 + -1.714285714x2 + -1.285714286 + x4 = 0 + -1.285714286

Reorder the terms:
1.285714286 + -1.285714286 + -1.714285714x2 + x4 = 0 + -1.285714286

Combine like terms: 1.285714286 + -1.285714286 = 0.000000000
0.000000000 + -1.714285714x2 + x4 = 0 + -1.285714286
-1.714285714x2 + x4 = 0 + -1.285714286

Combine like terms: 0 + -1.285714286 = -1.285714286
-1.714285714x2 + x4 = -1.285714286

The x term is -1.714285714x2.  Take half its coefficient (-0.857142857).
Square it (0.7346938773) and add it to both sides.

Add '0.7346938773' to each side of the equation.
-1.714285714x2 + 0.7346938773 + x4 = -1.285714286 + 0.7346938773

Reorder the terms:
0.7346938773 + -1.714285714x2 + x4 = -1.285714286 + 0.7346938773

Combine like terms: -1.285714286 + 0.7346938773 = -0.5510204087
0.7346938773 + -1.714285714x2 + x4 = -0.5510204087

Factor a perfect square on the left side:
(x2 + -0.857142857)(x2 + -0.857142857) = -0.5510204087

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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