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

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


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

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

Reorder the terms for easier multiplication:
x2(3 + x) + 5 = (x + 5)(x + -5) + (4 + -1x)
(3 * x2 + x * x2) + 5 = (x + 5)(x + -5) + (4 + -1x)
(3x2 + x3) + 5 = (x + 5)(x + -5) + (4 + -1x)

Reorder the terms:
5 + 3x2 + x3 = (x + 5)(x + -5) + (4 + -1x)

Reorder the terms:
5 + 3x2 + x3 = (5 + x)(x + -5) + (4 + -1x)

Reorder the terms:
5 + 3x2 + x3 = (5 + x)(-5 + x) + (4 + -1x)

Multiply (5 + x) * (-5 + x)
5 + 3x2 + x3 = (5(-5 + x) + x(-5 + x)) + (4 + -1x)
5 + 3x2 + x3 = ((-5 * 5 + x * 5) + x(-5 + x)) + (4 + -1x)
5 + 3x2 + x3 = ((-25 + 5x) + x(-5 + x)) + (4 + -1x)
5 + 3x2 + x3 = (-25 + 5x + (-5 * x + x * x)) + (4 + -1x)
5 + 3x2 + x3 = (-25 + 5x + (-5x + x2)) + (4 + -1x)

Combine like terms: 5x + -5x = 0
5 + 3x2 + x3 = (-25 + 0 + x2) + (4 + -1x)
5 + 3x2 + x3 = (-25 + x2) + (4 + -1x)

Remove parenthesis around (4 + -1x)
5 + 3x2 + x3 = -25 + x2 + 4 + -1x

Reorder the terms:
5 + 3x2 + x3 = -25 + 4 + -1x + x2

Combine like terms: -25 + 4 = -21
5 + 3x2 + x3 = -21 + -1x + x2

Solving
5 + 3x2 + x3 = -21 + -1x + x2

Solving for variable 'x'.

Reorder the terms:
5 + 21 + x + 3x2 + -1x2 + x3 = -21 + -1x + x2 + 21 + x + -1x2

Combine like terms: 5 + 21 = 26
26 + x + 3x2 + -1x2 + x3 = -21 + -1x + x2 + 21 + x + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
26 + x + 2x2 + x3 = -21 + -1x + x2 + 21 + x + -1x2

Reorder the terms:
26 + x + 2x2 + x3 = -21 + 21 + -1x + x + x2 + -1x2

Combine like terms: -21 + 21 = 0
26 + x + 2x2 + x3 = 0 + -1x + x + x2 + -1x2
26 + x + 2x2 + x3 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
26 + x + 2x2 + x3 = 0 + x2 + -1x2
26 + x + 2x2 + x3 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
26 + x + 2x2 + x3 = 0

The solution to this equation could not be determined.

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