(x^2-2x+4)(x^2+3x+4)=14x^2

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Solution for (x^2-2x+4)(x^2+3x+4)=14x^2 equation: 


Simplifying
(x2 + -2x + 4)(x2 + 3x + 4) = 14x2

Reorder the terms:
(4 + -2x + x2)(x2 + 3x + 4) = 14x2

Reorder the terms:
(4 + -2x + x2)(4 + 3x + x2) = 14x2

Multiply (4 + -2x + x2) * (4 + 3x + x2)
(4(4 + 3x + x2) + -2x * (4 + 3x + x2) + x2(4 + 3x + x2)) = 14x2
((4 * 4 + 3x * 4 + x2 * 4) + -2x * (4 + 3x + x2) + x2(4 + 3x + x2)) = 14x2
((16 + 12x + 4x2) + -2x * (4 + 3x + x2) + x2(4 + 3x + x2)) = 14x2
(16 + 12x + 4x2 + (4 * -2x + 3x * -2x + x2 * -2x) + x2(4 + 3x + x2)) = 14x2
(16 + 12x + 4x2 + (-8x + -6x2 + -2x3) + x2(4 + 3x + x2)) = 14x2
(16 + 12x + 4x2 + -8x + -6x2 + -2x3 + (4 * x2 + 3x * x2 + x2 * x2)) = 14x2
(16 + 12x + 4x2 + -8x + -6x2 + -2x3 + (4x2 + 3x3 + x4)) = 14x2

Reorder the terms:
(16 + 12x + -8x + 4x2 + -6x2 + 4x2 + -2x3 + 3x3 + x4) = 14x2

Combine like terms: 12x + -8x = 4x
(16 + 4x + 4x2 + -6x2 + 4x2 + -2x3 + 3x3 + x4) = 14x2

Combine like terms: 4x2 + -6x2 = -2x2
(16 + 4x + -2x2 + 4x2 + -2x3 + 3x3 + x4) = 14x2

Combine like terms: -2x2 + 4x2 = 2x2
(16 + 4x + 2x2 + -2x3 + 3x3 + x4) = 14x2

Combine like terms: -2x3 + 3x3 = 1x3
(16 + 4x + 2x2 + 1x3 + x4) = 14x2

Solving
16 + 4x + 2x2 + 1x3 + x4 = 14x2

Solving for variable 'x'.

Reorder the terms:
16 + 4x + 2x2 + -14x2 + 1x3 + x4 = 14x2 + -14x2

Combine like terms: 2x2 + -14x2 = -12x2
16 + 4x + -12x2 + 1x3 + x4 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
16 + 4x + -12x2 + 1x3 + x4 = 0

The solution to this equation could not be determined.

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