24+10x-x^2=p-(x-5)2

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Solution for 24+10x-x^2=p-(x-5)2 equation:


Simplifying
24 + 10x + -1x2 = p + -1(x + -5) * 2

Reorder the terms:
24 + 10x + -1x2 = p + -1(-5 + x) * 2

Reorder the terms for easier multiplication:
24 + 10x + -1x2 = p + -1 * 2(-5 + x)

Multiply -1 * 2
24 + 10x + -1x2 = p + -2(-5 + x)
24 + 10x + -1x2 = p + (-5 * -2 + x * -2)
24 + 10x + -1x2 = p + (10 + -2x)

Reorder the terms:
24 + 10x + -1x2 = 10 + p + -2x

Solving
24 + 10x + -1x2 = 10 + p + -2x

Solving for variable 'x'.

Reorder the terms:
24 + -10 + -1p + 10x + 2x + -1x2 = 10 + p + -2x + -10 + -1p + 2x

Combine like terms: 24 + -10 = 14
14 + -1p + 10x + 2x + -1x2 = 10 + p + -2x + -10 + -1p + 2x

Combine like terms: 10x + 2x = 12x
14 + -1p + 12x + -1x2 = 10 + p + -2x + -10 + -1p + 2x

Reorder the terms:
14 + -1p + 12x + -1x2 = 10 + -10 + p + -1p + -2x + 2x

Combine like terms: 10 + -10 = 0
14 + -1p + 12x + -1x2 = 0 + p + -1p + -2x + 2x
14 + -1p + 12x + -1x2 = p + -1p + -2x + 2x

Combine like terms: p + -1p = 0
14 + -1p + 12x + -1x2 = 0 + -2x + 2x
14 + -1p + 12x + -1x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
14 + -1p + 12x + -1x2 = 0

The solution to this equation could not be determined.

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