(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 = 8x
(-1 + 8x + 2x2 + -15x2 + -2x2 + -6x3 + 10x3 + 4x4) = 9x2

Combine like terms: 2x2 + -15x2 = -13x2
(-1 + 8x + -13x2 + -2x2 + -6x3 + 10x3 + 4x4) = 9x2

Combine like terms: -13x2 + -2x2 = -15x2
(-1 + 8x + -15x2 + -6x3 + 10x3 + 4x4) = 9x2

Combine like terms: -6x3 + 10x3 = 4x3
(-1 + 8x + -15x2 + 4x3 + 4x4) = 9x2

Solving
-1 + 8x + -15x2 + 4x3 + 4x4 = 9x2

Solving for variable 'x'.

Reorder the terms:
-1 + 8x + -15x2 + -9x2 + 4x3 + 4x4 = 9x2 + -9x2

Combine like terms: -15x2 + -9x2 = -24x2
-1 + 8x + -24x2 + 4x3 + 4x4 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-1 + 8x + -24x2 + 4x3 + 4x4 = 0

The solution to this equation could not be determined.

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