0=(x+2)(2x^2+2.5x+3)

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Solution for 0=(x+2)(2x^2+2.5x+3) equation:


Simplifying
0 = (x + 2)(2x2 + 2.5x + 3)

Reorder the terms:
0 = (2 + x)(2x2 + 2.5x + 3)

Reorder the terms:
0 = (2 + x)(3 + 2.5x + 2x2)

Multiply (2 + x) * (3 + 2.5x + 2x2)
0 = (2(3 + 2.5x + 2x2) + x(3 + 2.5x + 2x2))
0 = ((3 * 2 + 2.5x * 2 + 2x2 * 2) + x(3 + 2.5x + 2x2))
0 = ((6 + 5x + 4x2) + x(3 + 2.5x + 2x2))
0 = (6 + 5x + 4x2 + (3 * x + 2.5x * x + 2x2 * x))
0 = (6 + 5x + 4x2 + (3x + 2.5x2 + 2x3))

Reorder the terms:
0 = (6 + 5x + 3x + 4x2 + 2.5x2 + 2x3)

Combine like terms: 5x + 3x = 8x
0 = (6 + 8x + 4x2 + 2.5x2 + 2x3)

Combine like terms: 4x2 + 2.5x2 = 6.5x2
0 = (6 + 8x + 6.5x2 + 2x3)

Solving
0 = 6 + 8x + 6.5x2 + 2x3

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + -8x + -6.5x2 + -2x3 = 6 + 8x + 6.5x2 + 2x3 + -6 + -8x + -6.5x2 + -2x3

Reorder the terms:
-6 + -8x + -6.5x2 + -2x3 = 6 + -6 + 8x + -8x + 6.5x2 + -6.5x2 + 2x3 + -2x3

Combine like terms: 6 + -6 = 0
-6 + -8x + -6.5x2 + -2x3 = 0 + 8x + -8x + 6.5x2 + -6.5x2 + 2x3 + -2x3
-6 + -8x + -6.5x2 + -2x3 = 8x + -8x + 6.5x2 + -6.5x2 + 2x3 + -2x3

Combine like terms: 8x + -8x = 0
-6 + -8x + -6.5x2 + -2x3 = 0 + 6.5x2 + -6.5x2 + 2x3 + -2x3
-6 + -8x + -6.5x2 + -2x3 = 6.5x2 + -6.5x2 + 2x3 + -2x3

Combine like terms: 6.5x2 + -6.5x2 = 0.0
-6 + -8x + -6.5x2 + -2x3 = 0.0 + 2x3 + -2x3
-6 + -8x + -6.5x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-6 + -8x + -6.5x2 + -2x3 = 0

The solution to this equation could not be determined.

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