(x^2+14x+24)(x^2+11x+24)=4x^2

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Solution for (x^2+14x+24)(x^2+11x+24)=4x^2 equation: 


Simplifying
(x2 + 14x + 24)(x2 + 11x + 24) = 4x2

Reorder the terms:
(24 + 14x + x2)(x2 + 11x + 24) = 4x2

Reorder the terms:
(24 + 14x + x2)(24 + 11x + x2) = 4x2

Multiply (24 + 14x + x2) * (24 + 11x + x2)
(24(24 + 11x + x2) + 14x * (24 + 11x + x2) + x2(24 + 11x + x2)) = 4x2
((24 * 24 + 11x * 24 + x2 * 24) + 14x * (24 + 11x + x2) + x2(24 + 11x + x2)) = 4x2
((576 + 264x + 24x2) + 14x * (24 + 11x + x2) + x2(24 + 11x + x2)) = 4x2
(576 + 264x + 24x2 + (24 * 14x + 11x * 14x + x2 * 14x) + x2(24 + 11x + x2)) = 4x2
(576 + 264x + 24x2 + (336x + 154x2 + 14x3) + x2(24 + 11x + x2)) = 4x2
(576 + 264x + 24x2 + 336x + 154x2 + 14x3 + (24 * x2 + 11x * x2 + x2 * x2)) = 4x2
(576 + 264x + 24x2 + 336x + 154x2 + 14x3 + (24x2 + 11x3 + x4)) = 4x2

Reorder the terms:
(576 + 264x + 336x + 24x2 + 154x2 + 24x2 + 14x3 + 11x3 + x4) = 4x2

Combine like terms: 264x + 336x = 600x
(576 + 600x + 24x2 + 154x2 + 24x2 + 14x3 + 11x3 + x4) = 4x2

Combine like terms: 24x2 + 154x2 = 178x2
(576 + 600x + 178x2 + 24x2 + 14x3 + 11x3 + x4) = 4x2

Combine like terms: 178x2 + 24x2 = 202x2
(576 + 600x + 202x2 + 14x3 + 11x3 + x4) = 4x2

Combine like terms: 14x3 + 11x3 = 25x3
(576 + 600x + 202x2 + 25x3 + x4) = 4x2

Solving
576 + 600x + 202x2 + 25x3 + x4 = 4x2

Solving for variable 'x'.

Reorder the terms:
576 + 600x + 202x2 + -4x2 + 25x3 + x4 = 4x2 + -4x2

Combine like terms: 202x2 + -4x2 = 198x2
576 + 600x + 198x2 + 25x3 + x4 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
576 + 600x + 198x2 + 25x3 + x4 = 0

The solution to this equation could not be determined.

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