(X+a)(x-a)(x+b)(x-b)=

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Solution for (X+a)(x-a)(x+b)(x-b)= equation: 


Simplifying
(X + a)(x + -1a)(x + b)(x + -1b) = 0

Reorder the terms:
(X + a)(-1a + x)(x + b)(x + -1b) = 0

Reorder the terms:
(X + a)(-1a + x)(b + x)(x + -1b) = 0

Reorder the terms:
(X + a)(-1a + x)(b + x)(-1b + x) = 0

Multiply (X + a) * (-1a + x)
(X(-1a + x) + a(-1a + x))(b + x)(-1b + x) = 0
((-1a * X + x * X) + a(-1a + x))(b + x)(-1b + x) = 0
((-1aX + xX) + a(-1a + x))(b + x)(-1b + x) = 0
(-1aX + xX + (-1a * a + x * a))(b + x)(-1b + x) = 0

Reorder the terms:
(-1aX + xX + (ax + -1a2))(b + x)(-1b + x) = 0
(-1aX + xX + (ax + -1a2))(b + x)(-1b + x) = 0

Reorder the terms:
(-1aX + ax + -1a2 + xX)(b + x)(-1b + x) = 0
(-1aX + ax + -1a2 + xX)(b + x)(-1b + x) = 0

Multiply (-1aX + ax + -1a2 + xX) * (b + x)
(-1aX * (b + x) + ax(b + x) + -1a2 * (b + x) + xX(b + x))(-1b + x) = 0
((b * -1aX + x * -1aX) + ax(b + x) + -1a2 * (b + x) + xX(b + x))(-1b + x) = 0
((-1abX + -1axX) + ax(b + x) + -1a2 * (b + x) + xX(b + x))(-1b + x) = 0
(-1abX + -1axX + (b * ax + x * ax) + -1a2 * (b + x) + xX(b + x))(-1b + x) = 0
(-1abX + -1axX + (abx + ax2) + -1a2 * (b + x) + xX(b + x))(-1b + x) = 0
(-1abX + -1axX + abx + ax2 + (b * -1a2 + x * -1a2) + xX(b + x))(-1b + x) = 0
(-1abX + -1axX + abx + ax2 + (-1a2b + -1a2x) + xX(b + x))(-1b + x) = 0
(-1abX + -1axX + abx + ax2 + -1a2b + -1a2x + (b * xX + x * xX))(-1b + x) = 0
(-1abX + -1axX + abx + ax2 + -1a2b + -1a2x + (bxX + x2X))(-1b + x) = 0

Reorder the terms:
(-1abX + abx + -1axX + ax2 + -1a2b + -1a2x + bxX + x2X)(-1b + x) = 0
(-1abX + abx + -1axX + ax2 + -1a2b + -1a2x + bxX + x2X)(-1b + x) = 0

Multiply (-1abX + abx + -1axX + ax2 + -1a2b + -1a2x + bxX + x2X) * (-1b + x)
(-1abX * (-1b + x) + abx(-1b + x) + -1axX * (-1b + x) + ax2(-1b + x) + -1a2b * (-1b + x) + -1a2x * (-1b + x) + bxX(-1b + x) + x2X(-1b + x)) = 0
((-1b * -1abX + x * -1abX) + abx(-1b + x) + -1axX * (-1b + x) + ax2(-1b + x) + -1a2b * (-1b + x) + -1a2x * (-1b + x) + bxX(-1b + x) + x2X(-1b + x)) = 0

Reorder the terms:
((-1abxX + 1ab2X) + abx(-1b + x) + -1axX * (-1b + x) + ax2(-1b + x) + -1a2b * (-1b + x) + -1a2x * (-1b + x) + bxX(-1b + x) + x2X(-1b + x)) = 0
((-1abxX + 1ab2X) + abx(-1b + x) + -1axX * (-1b + x) + ax2(-1b + x) + -1a2b * (-1b + x) + -1a2x * (-1b + x) + bxX(-1b + x) + x2X(-1b + x)) = 0
(-1abxX + 1ab2X + (-1b * abx + x * abx) + -1axX * (-1b + x) + ax2(-1b + x) + -1a2b * (-1b + x) + -1a2x * (-1b + x) + bxX(-1b + x) + x2X(-1b + x)) = 0

Reorder the terms:
(-1abxX + 1ab2X + (abx2 + -1ab2x) + -1axX * (-1b + x) + ax2(-1b + x) + -1a2b * (-1b + x) + -1a2x * (-1b + x) + bxX(-1b + x) + x2X(-1b + x)) = 0
(-1abxX + 1ab2X + (abx2 + -1ab2x) + -1axX * (-1b + x) + ax2(-1b + x) + -1a2b * (-1b + x) + -1a2x * (-1b + x) + bxX(-1b + x) + x2X(-1b + x)) = 0
(-1abxX + 1ab2X + abx2 + -1ab2x + (-1b * -1axX + x * -1axX) + ax2(-1b + x) + -1a2b * (-1b + x) + -1a2x * (-1b + x) + bxX(-1b + x) + x2X(-1b + x)) = 0
(-1abxX + 1ab2X + abx2 + -1ab2x + (1abxX + -1ax2X) + ax2(-1b + x) + -1a2b * (-1b + x) + -1a2x * (-1b + x) + bxX(-1b + x) + x2X(-1b + x)) = 0
(-1abxX + 1ab2X + abx2 + -1ab2x + 1abxX + -1ax2X + (-1b * ax2 + x * ax2) + -1a2b * (-1b + x) + -1a2x * (-1b + x) + bxX(-1b + x) + x2X(-1b + x)) = 0
(-1abxX + 1ab2X + abx2 + -1ab2x + 1abxX + -1ax2X + (-1abx2 + ax3) + -1a2b * (-1b + x) + -1a2x * (-1b + x) + bxX(-1b + x) + x2X(-1b + x)) = 0
(-1abxX + 1ab2X + abx2 + -1ab2x + 1abxX + -1ax2X + -1abx2 + ax3 + (-1b * -1a2b + x * -1a2b) + -1a2x * (-1b + x) + bxX(-1b + x) + x2X(-1b + x)) = 0

Reorder the terms:
(-1abxX + 1ab2X + abx2 + -1ab2x + 1abxX + -1ax2X + -1abx2 + ax3 + (-1a2bx + 1a2b2) + -1a2x * (-1b + x) + bxX(-1b + x) + x2X(-1b + x)) = 0
(-1abxX + 1ab2X + abx2 + -1ab2x + 1abxX + -1ax2X + -1abx2 + ax3 + (-1a2bx + 1a2b2) + -1a2x * (-1b + x) + bxX(-1b + x) + x2X(-1b + x)) = 0
(-1abxX + 1ab2X + abx2 + -1ab2x + 1abxX + -1ax2X + -1abx2 + ax3 + -1a2bx + 1a2b2 + (-1b * -1a2x + x * -1a2x) + bxX(-1b + x) + x2X(-1b + x)) = 0
(-1abxX + 1ab2X + abx2 + -1ab2x + 1abxX + -1ax2X + -1abx2 + ax3 + -1a2bx + 1a2b2 + (1a2bx + -1a2x2) + bxX(-1b + x) + x2X(-1b + x)) = 0
(-1abxX + 1ab2X + abx2 + -1ab2x + 1abxX + -1ax2X + -1abx2 + ax3 + -1a2bx + 1a2b2 + 1a2bx + -1a2x2 + (-1b * bxX + x * bxX) + x2X(-1b + x)) = 0

Reorder the terms:
(-1abxX + 1ab2X + abx2 + -1ab2x + 1abxX + -1ax2X + -1abx2 + ax3 + -1a2bx + 1a2b2 + 1a2bx + -1a2x2 + (bx2X + -1b2xX) + x2X(-1b + x)) = 0
(-1abxX + 1ab2X + abx2 + -1ab2x + 1abxX + -1ax2X + -1abx2 + ax3 + -1a2bx + 1a2b2 + 1a2bx + -1a2x2 + (bx2X + -1b2xX) + x2X(-1b + x)) = 0
(-1abxX + 1ab2X + abx2 + -1ab2x + 1abxX + -1ax2X + -1abx2 + ax3 + -1a2bx + 1a2b2 + 1a2bx + -1a2x2 + bx2X + -1b2xX + (-1b * x2X + x * x2X)) = 0
(-1abxX + 1ab2X + abx2 + -1ab2x + 1abxX + -1ax2X + -1abx2 + ax3 + -1a2bx + 1a2b2 + 1a2bx + -1a2x2 + bx2X + -1b2xX + (-1bx2X + x3X)) = 0

Reorder the terms:
(-1abxX + 1abxX + abx2 + -1abx2 + 1ab2X + -1ab2x + -1ax2X + ax3 + -1a2bx + 1a2bx + 1a2b2 + -1a2x2 + bx2X + -1bx2X + -1b2xX + x3X) = 0

Combine like terms: -1abxX + 1abxX = 0
(0 + abx2 + -1abx2 + 1ab2X + -1ab2x + -1ax2X + ax3 + -1a2bx + 1a2bx + 1a2b2 + -1a2x2 + bx2X + -1bx2X + -1b2xX + x3X) = 0
(abx2 + -1abx2 + 1ab2X + -1ab2x + -1ax2X + ax3 + -1a2bx + 1a2bx + 1a2b2 + -1a2x2 + bx2X + -1bx2X + -1b2xX + x3X) = 0

Combine like terms: abx2 + -1abx2 = 0
(0 + 1ab2X + -1ab2x + -1ax2X + ax3 + -1a2bx + 1a2bx + 1a2b2 + -1a2x2 + bx2X + -1bx2X + -1b2xX + x3X) = 0
(1ab2X + -1ab2x + -1ax2X + ax3 + -1a2bx + 1a2bx + 1a2b2 + -1a2x2 + bx2X + -1bx2X + -1b2xX + x3X) = 0

Combine like terms: -1a2bx + 1a2bx = 0
(1ab2X + -1ab2x + -1ax2X + ax3 + 0 + 1a2b2 + -1a2x2 + bx2X + -1bx2X + -1b2xX + x3X) = 0
(1ab2X + -1ab2x + -1ax2X + ax3 + 1a2b2 + -1a2x2 + bx2X + -1bx2X + -1b2xX + x3X) = 0

Combine like terms: bx2X + -1bx2X = 0
(1ab2X + -1ab2x + -1ax2X + ax3 + 1a2b2 + -1a2x2 + 0 + -1b2xX + x3X) = 0
(1ab2X + -1ab2x + -1ax2X + ax3 + 1a2b2 + -1a2x2 + -1b2xX + x3X) = 0

Solving
1ab2X + -1ab2x + -1ax2X + ax3 + 1a2b2 + -1a2x2 + -1b2xX + x3X = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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