0=0.25(x+2)(x-1)(x-3)

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Solution for 0=0.25(x+2)(x-1)(x-3) equation:


Simplifying
0 = 0.25(x + 2)(x + -1)(x + -3)

Reorder the terms:
0 = 0.25(2 + x)(x + -1)(x + -3)

Reorder the terms:
0 = 0.25(2 + x)(-1 + x)(x + -3)

Reorder the terms:
0 = 0.25(2 + x)(-1 + x)(-3 + x)

Multiply (2 + x) * (-1 + x)
0 = 0.25(2(-1 + x) + x(-1 + x))(-3 + x)
0 = 0.25((-1 * 2 + x * 2) + x(-1 + x))(-3 + x)
0 = 0.25((-2 + 2x) + x(-1 + x))(-3 + x)
0 = 0.25(-2 + 2x + (-1 * x + x * x))(-3 + x)
0 = 0.25(-2 + 2x + (-1x + x2))(-3 + x)

Combine like terms: 2x + -1x = 1x
0 = 0.25(-2 + 1x + x2)(-3 + x)

Multiply (-2 + 1x + x2) * (-3 + x)
0 = 0.25(-2(-3 + x) + 1x * (-3 + x) + x2(-3 + x))
0 = 0.25((-3 * -2 + x * -2) + 1x * (-3 + x) + x2(-3 + x))
0 = 0.25((6 + -2x) + 1x * (-3 + x) + x2(-3 + x))
0 = 0.25(6 + -2x + (-3 * 1x + x * 1x) + x2(-3 + x))
0 = 0.25(6 + -2x + (-3x + 1x2) + x2(-3 + x))
0 = 0.25(6 + -2x + -3x + 1x2 + (-3 * x2 + x * x2))
0 = 0.25(6 + -2x + -3x + 1x2 + (-3x2 + x3))

Combine like terms: -2x + -3x = -5x
0 = 0.25(6 + -5x + 1x2 + -3x2 + x3)

Combine like terms: 1x2 + -3x2 = -2x2
0 = 0.25(6 + -5x + -2x2 + x3)
0 = (6 * 0.25 + -5x * 0.25 + -2x2 * 0.25 + x3 * 0.25)
0 = (1.5 + -1.25x + -0.5x2 + 0.25x3)

Solving
0 = 1.5 + -1.25x + -0.5x2 + 0.25x3

Solving for variable 'x'.

Combine like terms: 0 + -1.5 = -1.5
-1.5 + 1.25x + 0.5x2 + -0.25x3 = 1.5 + -1.25x + -0.5x2 + 0.25x3 + -1.5 + 1.25x + 0.5x2 + -0.25x3

Reorder the terms:
-1.5 + 1.25x + 0.5x2 + -0.25x3 = 1.5 + -1.5 + -1.25x + 1.25x + -0.5x2 + 0.5x2 + 0.25x3 + -0.25x3

Combine like terms: 1.5 + -1.5 = 0.0
-1.5 + 1.25x + 0.5x2 + -0.25x3 = 0.0 + -1.25x + 1.25x + -0.5x2 + 0.5x2 + 0.25x3 + -0.25x3
-1.5 + 1.25x + 0.5x2 + -0.25x3 = -1.25x + 1.25x + -0.5x2 + 0.5x2 + 0.25x3 + -0.25x3

Combine like terms: -1.25x + 1.25x = 0.00
-1.5 + 1.25x + 0.5x2 + -0.25x3 = 0.00 + -0.5x2 + 0.5x2 + 0.25x3 + -0.25x3
-1.5 + 1.25x + 0.5x2 + -0.25x3 = -0.5x2 + 0.5x2 + 0.25x3 + -0.25x3

Combine like terms: -0.5x2 + 0.5x2 = 0.0
-1.5 + 1.25x + 0.5x2 + -0.25x3 = 0.0 + 0.25x3 + -0.25x3
-1.5 + 1.25x + 0.5x2 + -0.25x3 = 0.25x3 + -0.25x3

Combine like terms: 0.25x3 + -0.25x3 = 0.00
-1.5 + 1.25x + 0.5x2 + -0.25x3 = 0.00

The solution to this equation could not be determined.

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