15.625=(x+1.5)(x+1.5)(x+1.5)

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Solution for 15.625=(x+1.5)(x+1.5)(x+1.5) equation: 


Simplifying
15.625 = (x + 1.5)(x + 1.5)(x + 1.5)

Reorder the terms:
15.625 = (1.5 + x)(x + 1.5)(x + 1.5)

Reorder the terms:
15.625 = (1.5 + x)(1.5 + x)(x + 1.5)

Reorder the terms:
15.625 = (1.5 + x)(1.5 + x)(1.5 + x)

Multiply (1.5 + x) * (1.5 + x)
15.625 = (1.5(1.5 + x) + x(1.5 + x))(1.5 + x)
15.625 = ((1.5 * 1.5 + x * 1.5) + x(1.5 + x))(1.5 + x)
15.625 = ((2.25 + 1.5x) + x(1.5 + x))(1.5 + x)
15.625 = (2.25 + 1.5x + (1.5 * x + x * x))(1.5 + x)
15.625 = (2.25 + 1.5x + (1.5x + x2))(1.5 + x)

Combine like terms: 1.5x + 1.5x = 3x
15.625 = (2.25 + 3x + x2)(1.5 + x)

Multiply (2.25 + 3x + x2) * (1.5 + x)
15.625 = (2.25(1.5 + x) + 3x * (1.5 + x) + x2(1.5 + x))
15.625 = ((1.5 * 2.25 + x * 2.25) + 3x * (1.5 + x) + x2(1.5 + x))
15.625 = ((3.375 + 2.25x) + 3x * (1.5 + x) + x2(1.5 + x))
15.625 = (3.375 + 2.25x + (1.5 * 3x + x * 3x) + x2(1.5 + x))
15.625 = (3.375 + 2.25x + (4.5x + 3x2) + x2(1.5 + x))
15.625 = (3.375 + 2.25x + 4.5x + 3x2 + (1.5 * x2 + x * x2))
15.625 = (3.375 + 2.25x + 4.5x + 3x2 + (1.5x2 + x3))

Combine like terms: 2.25x + 4.5x = 6.75x
15.625 = (3.375 + 6.75x + 3x2 + 1.5x2 + x3)

Combine like terms: 3x2 + 1.5x2 = 4.5x2
15.625 = (3.375 + 6.75x + 4.5x2 + x3)

Solving
15.625 = 3.375 + 6.75x + 4.5x2 + x3

Solving for variable 'x'.

Combine like terms: 15.625 + -3.375 = 12.25
12.25 + -6.75x + -4.5x2 + -1x3 = 3.375 + 6.75x + 4.5x2 + x3 + -3.375 + -6.75x + -4.5x2 + -1x3

Reorder the terms:
12.25 + -6.75x + -4.5x2 + -1x3 = 3.375 + -3.375 + 6.75x + -6.75x + 4.5x2 + -4.5x2 + x3 + -1x3

Combine like terms: 3.375 + -3.375 = 0.000
12.25 + -6.75x + -4.5x2 + -1x3 = 0.000 + 6.75x + -6.75x + 4.5x2 + -4.5x2 + x3 + -1x3
12.25 + -6.75x + -4.5x2 + -1x3 = 6.75x + -6.75x + 4.5x2 + -4.5x2 + x3 + -1x3

Combine like terms: 6.75x + -6.75x = 0.00
12.25 + -6.75x + -4.5x2 + -1x3 = 0.00 + 4.5x2 + -4.5x2 + x3 + -1x3
12.25 + -6.75x + -4.5x2 + -1x3 = 4.5x2 + -4.5x2 + x3 + -1x3

Combine like terms: 4.5x2 + -4.5x2 = 0.0
12.25 + -6.75x + -4.5x2 + -1x3 = 0.0 + x3 + -1x3
12.25 + -6.75x + -4.5x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
12.25 + -6.75x + -4.5x2 + -1x3 = 0

The solution to this equation could not be determined.

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