(x^2+x-4)(x^2-7x-4)=x^2

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Solution for (x^2+x-4)(x^2-7x-4)=x^2 equation:


Simplifying
(x2 + x + -4)(x2 + -7x + -4) = x2

Reorder the terms:
(-4 + x + x2)(x2 + -7x + -4) = x2

Reorder the terms:
(-4 + x + x2)(-4 + -7x + x2) = x2

Multiply (-4 + x + x2) * (-4 + -7x + x2)
(-4(-4 + -7x + x2) + x(-4 + -7x + x2) + x2(-4 + -7x + x2)) = x2
((-4 * -4 + -7x * -4 + x2 * -4) + x(-4 + -7x + x2) + x2(-4 + -7x + x2)) = x2
((16 + 28x + -4x2) + x(-4 + -7x + x2) + x2(-4 + -7x + x2)) = x2
(16 + 28x + -4x2 + (-4 * x + -7x * x + x2 * x) + x2(-4 + -7x + x2)) = x2
(16 + 28x + -4x2 + (-4x + -7x2 + x3) + x2(-4 + -7x + x2)) = x2
(16 + 28x + -4x2 + -4x + -7x2 + x3 + (-4 * x2 + -7x * x2 + x2 * x2)) = x2
(16 + 28x + -4x2 + -4x + -7x2 + x3 + (-4x2 + -7x3 + x4)) = x2

Reorder the terms:
(16 + 28x + -4x + -4x2 + -7x2 + -4x2 + x3 + -7x3 + x4) = x2

Combine like terms: 28x + -4x = 24x
(16 + 24x + -4x2 + -7x2 + -4x2 + x3 + -7x3 + x4) = x2

Combine like terms: -4x2 + -7x2 = -11x2
(16 + 24x + -11x2 + -4x2 + x3 + -7x3 + x4) = x2

Combine like terms: -11x2 + -4x2 = -15x2
(16 + 24x + -15x2 + x3 + -7x3 + x4) = x2

Combine like terms: x3 + -7x3 = -6x3
(16 + 24x + -15x2 + -6x3 + x4) = x2

Solving
16 + 24x + -15x2 + -6x3 + x4 = x2

Solving for variable 'x'.

Reorder the terms:
16 + 24x + -15x2 + -1x2 + -6x3 + x4 = x2 + -1x2

Combine like terms: -15x2 + -1x2 = -16x2
16 + 24x + -16x2 + -6x3 + x4 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 24x + -16x2 + -6x3 + x4 = 0

The solution to this equation could not be determined.

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