(2x^2-3x+1)(2x^2+5x+1)=9x^2

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Solution for (2x^2-3x+1)(2x^2+5x+1)=9x^2 equation:


Simplifying
(2x2 + -3x + 1)(2x2 + 5x + 1) = 9x2

Reorder the terms:
(1 + -3x + 2x2)(2x2 + 5x + 1) = 9x2

Reorder the terms:
(1 + -3x + 2x2)(1 + 5x + 2x2) = 9x2

Multiply (1 + -3x + 2x2) * (1 + 5x + 2x2)
(1(1 + 5x + 2x2) + -3x * (1 + 5x + 2x2) + 2x2 * (1 + 5x + 2x2)) = 9x2
((1 * 1 + 5x * 1 + 2x2 * 1) + -3x * (1 + 5x + 2x2) + 2x2 * (1 + 5x + 2x2)) = 9x2
((1 + 5x + 2x2) + -3x * (1 + 5x + 2x2) + 2x2 * (1 + 5x + 2x2)) = 9x2
(1 + 5x + 2x2 + (1 * -3x + 5x * -3x + 2x2 * -3x) + 2x2 * (1 + 5x + 2x2)) = 9x2
(1 + 5x + 2x2 + (-3x + -15x2 + -6x3) + 2x2 * (1 + 5x + 2x2)) = 9x2
(1 + 5x + 2x2 + -3x + -15x2 + -6x3 + (1 * 2x2 + 5x * 2x2 + 2x2 * 2x2)) = 9x2
(1 + 5x + 2x2 + -3x + -15x2 + -6x3 + (2x2 + 10x3 + 4x4)) = 9x2

Reorder the terms:
(1 + 5x + -3x + 2x2 + -15x2 + 2x2 + -6x3 + 10x3 + 4x4) = 9x2

Combine like terms: 5x + -3x = 2x
(1 + 2x + 2x2 + -15x2 + 2x2 + -6x3 + 10x3 + 4x4) = 9x2

Combine like terms: 2x2 + -15x2 = -13x2
(1 + 2x + -13x2 + 2x2 + -6x3 + 10x3 + 4x4) = 9x2

Combine like terms: -13x2 + 2x2 = -11x2
(1 + 2x + -11x2 + -6x3 + 10x3 + 4x4) = 9x2

Combine like terms: -6x3 + 10x3 = 4x3
(1 + 2x + -11x2 + 4x3 + 4x4) = 9x2

Solving
1 + 2x + -11x2 + 4x3 + 4x4 = 9x2

Solving for variable 'x'.

Reorder the terms:
1 + 2x + -11x2 + -9x2 + 4x3 + 4x4 = 9x2 + -9x2

Combine like terms: -11x2 + -9x2 = -20x2
1 + 2x + -20x2 + 4x3 + 4x4 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
1 + 2x + -20x2 + 4x3 + 4x4 = 0

The solution to this equation could not be determined.

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