(8-5x)(4x^2-5x-57)=25x^2-64

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Solution for (8-5x)(4x^2-5x-57)=25x^2-64 equation: 


Simplifying
(8 + -5x)(4x2 + -5x + -57) = 25x2 + -64

Reorder the terms:
(8 + -5x)(-57 + -5x + 4x2) = 25x2 + -64

Multiply (8 + -5x) * (-57 + -5x + 4x2)
(8(-57 + -5x + 4x2) + -5x * (-57 + -5x + 4x2)) = 25x2 + -64
((-57 * 8 + -5x * 8 + 4x2 * 8) + -5x * (-57 + -5x + 4x2)) = 25x2 + -64
((-456 + -40x + 32x2) + -5x * (-57 + -5x + 4x2)) = 25x2 + -64
(-456 + -40x + 32x2 + (-57 * -5x + -5x * -5x + 4x2 * -5x)) = 25x2 + -64
(-456 + -40x + 32x2 + (285x + 25x2 + -20x3)) = 25x2 + -64

Reorder the terms:
(-456 + -40x + 285x + 32x2 + 25x2 + -20x3) = 25x2 + -64

Combine like terms: -40x + 285x = 245x
(-456 + 245x + 32x2 + 25x2 + -20x3) = 25x2 + -64

Combine like terms: 32x2 + 25x2 = 57x2
(-456 + 245x + 57x2 + -20x3) = 25x2 + -64

Reorder the terms:
-456 + 245x + 57x2 + -20x3 = -64 + 25x2

Solving
-456 + 245x + 57x2 + -20x3 = -64 + 25x2

Solving for variable 'x'.

Reorder the terms:
-456 + 64 + 245x + 57x2 + -25x2 + -20x3 = -64 + 25x2 + 64 + -25x2

Combine like terms: -456 + 64 = -392
-392 + 245x + 57x2 + -25x2 + -20x3 = -64 + 25x2 + 64 + -25x2

Combine like terms: 57x2 + -25x2 = 32x2
-392 + 245x + 32x2 + -20x3 = -64 + 25x2 + 64 + -25x2

Reorder the terms:
-392 + 245x + 32x2 + -20x3 = -64 + 64 + 25x2 + -25x2

Combine like terms: -64 + 64 = 0
-392 + 245x + 32x2 + -20x3 = 0 + 25x2 + -25x2
-392 + 245x + 32x2 + -20x3 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
-392 + 245x + 32x2 + -20x3 = 0

The solution to this equation could not be determined.

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