(x^2+x+4)(x^2+2x+4)=30x^2

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Solution for (x^2+x+4)(x^2+2x+4)=30x^2 equation:


Simplifying
(x2 + x + 4)(x2 + 2x + 4) = 30x2

Reorder the terms:
(4 + x + x2)(x2 + 2x + 4) = 30x2

Reorder the terms:
(4 + x + x2)(4 + 2x + x2) = 30x2

Multiply (4 + x + x2) * (4 + 2x + x2)
(4(4 + 2x + x2) + x(4 + 2x + x2) + x2(4 + 2x + x2)) = 30x2
((4 * 4 + 2x * 4 + x2 * 4) + x(4 + 2x + x2) + x2(4 + 2x + x2)) = 30x2
((16 + 8x + 4x2) + x(4 + 2x + x2) + x2(4 + 2x + x2)) = 30x2
(16 + 8x + 4x2 + (4 * x + 2x * x + x2 * x) + x2(4 + 2x + x2)) = 30x2
(16 + 8x + 4x2 + (4x + 2x2 + x3) + x2(4 + 2x + x2)) = 30x2
(16 + 8x + 4x2 + 4x + 2x2 + x3 + (4 * x2 + 2x * x2 + x2 * x2)) = 30x2
(16 + 8x + 4x2 + 4x + 2x2 + x3 + (4x2 + 2x3 + x4)) = 30x2

Reorder the terms:
(16 + 8x + 4x + 4x2 + 2x2 + 4x2 + x3 + 2x3 + x4) = 30x2

Combine like terms: 8x + 4x = 12x
(16 + 12x + 4x2 + 2x2 + 4x2 + x3 + 2x3 + x4) = 30x2

Combine like terms: 4x2 + 2x2 = 6x2
(16 + 12x + 6x2 + 4x2 + x3 + 2x3 + x4) = 30x2

Combine like terms: 6x2 + 4x2 = 10x2
(16 + 12x + 10x2 + x3 + 2x3 + x4) = 30x2

Combine like terms: x3 + 2x3 = 3x3
(16 + 12x + 10x2 + 3x3 + x4) = 30x2

Solving
16 + 12x + 10x2 + 3x3 + x4 = 30x2

Solving for variable 'x'.

Reorder the terms:
16 + 12x + 10x2 + -30x2 + 3x3 + x4 = 30x2 + -30x2

Combine like terms: 10x2 + -30x2 = -20x2
16 + 12x + -20x2 + 3x3 + x4 = 30x2 + -30x2

Combine like terms: 30x2 + -30x2 = 0
16 + 12x + -20x2 + 3x3 + x4 = 0

The solution to this equation could not be determined.

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