=(2x^2-x+3)(5-4x)

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Solution for =(2x^2-x+3)(5-4x) equation: 


Simplifying
0 = (2x2 + -1x + 3)(5 + -4x)

Reorder the terms:
0 = (3 + -1x + 2x2)(5 + -4x)

Multiply (3 + -1x + 2x2) * (5 + -4x)
0 = (3(5 + -4x) + -1x * (5 + -4x) + 2x2 * (5 + -4x))
0 = ((5 * 3 + -4x * 3) + -1x * (5 + -4x) + 2x2 * (5 + -4x))
0 = ((15 + -12x) + -1x * (5 + -4x) + 2x2 * (5 + -4x))
0 = (15 + -12x + (5 * -1x + -4x * -1x) + 2x2 * (5 + -4x))
0 = (15 + -12x + (-5x + 4x2) + 2x2 * (5 + -4x))
0 = (15 + -12x + -5x + 4x2 + (5 * 2x2 + -4x * 2x2))
0 = (15 + -12x + -5x + 4x2 + (10x2 + -8x3))

Combine like terms: -12x + -5x = -17x
0 = (15 + -17x + 4x2 + 10x2 + -8x3)

Combine like terms: 4x2 + 10x2 = 14x2
0 = (15 + -17x + 14x2 + -8x3)

Solving
0 = 15 + -17x + 14x2 + -8x3

Solving for variable 'x'.

Combine like terms: 0 + -15 = -15
-15 + 17x + -14x2 + 8x3 = 15 + -17x + 14x2 + -8x3 + -15 + 17x + -14x2 + 8x3

Reorder the terms:
-15 + 17x + -14x2 + 8x3 = 15 + -15 + -17x + 17x + 14x2 + -14x2 + -8x3 + 8x3

Combine like terms: 15 + -15 = 0
-15 + 17x + -14x2 + 8x3 = 0 + -17x + 17x + 14x2 + -14x2 + -8x3 + 8x3
-15 + 17x + -14x2 + 8x3 = -17x + 17x + 14x2 + -14x2 + -8x3 + 8x3

Combine like terms: -17x + 17x = 0
-15 + 17x + -14x2 + 8x3 = 0 + 14x2 + -14x2 + -8x3 + 8x3
-15 + 17x + -14x2 + 8x3 = 14x2 + -14x2 + -8x3 + 8x3

Combine like terms: 14x2 + -14x2 = 0
-15 + 17x + -14x2 + 8x3 = 0 + -8x3 + 8x3
-15 + 17x + -14x2 + 8x3 = -8x3 + 8x3

Combine like terms: -8x3 + 8x3 = 0
-15 + 17x + -14x2 + 8x3 = 0

The solution to this equation could not be determined.

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