=(x+4)(5x-4)(2x-1)

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Solution for =(x+4)(5x-4)(2x-1) equation:


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

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

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

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

Multiply (4 + x) * (-4 + 5x)
0 = (4(-4 + 5x) + x(-4 + 5x))(-1 + 2x)
0 = ((-4 * 4 + 5x * 4) + x(-4 + 5x))(-1 + 2x)
0 = ((-16 + 20x) + x(-4 + 5x))(-1 + 2x)
0 = (-16 + 20x + (-4 * x + 5x * x))(-1 + 2x)
0 = (-16 + 20x + (-4x + 5x2))(-1 + 2x)

Combine like terms: 20x + -4x = 16x
0 = (-16 + 16x + 5x2)(-1 + 2x)

Multiply (-16 + 16x + 5x2) * (-1 + 2x)
0 = (-16(-1 + 2x) + 16x * (-1 + 2x) + 5x2 * (-1 + 2x))
0 = ((-1 * -16 + 2x * -16) + 16x * (-1 + 2x) + 5x2 * (-1 + 2x))
0 = ((16 + -32x) + 16x * (-1 + 2x) + 5x2 * (-1 + 2x))
0 = (16 + -32x + (-1 * 16x + 2x * 16x) + 5x2 * (-1 + 2x))
0 = (16 + -32x + (-16x + 32x2) + 5x2 * (-1 + 2x))
0 = (16 + -32x + -16x + 32x2 + (-1 * 5x2 + 2x * 5x2))
0 = (16 + -32x + -16x + 32x2 + (-5x2 + 10x3))

Combine like terms: -32x + -16x = -48x
0 = (16 + -48x + 32x2 + -5x2 + 10x3)

Combine like terms: 32x2 + -5x2 = 27x2
0 = (16 + -48x + 27x2 + 10x3)

Solving
0 = 16 + -48x + 27x2 + 10x3

Solving for variable 'x'.

Combine like terms: 0 + -16 = -16
-16 + 48x + -27x2 + -10x3 = 16 + -48x + 27x2 + 10x3 + -16 + 48x + -27x2 + -10x3

Reorder the terms:
-16 + 48x + -27x2 + -10x3 = 16 + -16 + -48x + 48x + 27x2 + -27x2 + 10x3 + -10x3

Combine like terms: 16 + -16 = 0
-16 + 48x + -27x2 + -10x3 = 0 + -48x + 48x + 27x2 + -27x2 + 10x3 + -10x3
-16 + 48x + -27x2 + -10x3 = -48x + 48x + 27x2 + -27x2 + 10x3 + -10x3

Combine like terms: -48x + 48x = 0
-16 + 48x + -27x2 + -10x3 = 0 + 27x2 + -27x2 + 10x3 + -10x3
-16 + 48x + -27x2 + -10x3 = 27x2 + -27x2 + 10x3 + -10x3

Combine like terms: 27x2 + -27x2 = 0
-16 + 48x + -27x2 + -10x3 = 0 + 10x3 + -10x3
-16 + 48x + -27x2 + -10x3 = 10x3 + -10x3

Combine like terms: 10x3 + -10x3 = 0
-16 + 48x + -27x2 + -10x3 = 0

The solution to this equation could not be determined.

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