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

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


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

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

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

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

Multiply (-5 + x) * (-5 + x)
24 + 10x + -1x2 = p + -1(-5(-5 + x) + x(-5 + x))
24 + 10x + -1x2 = p + -1((-5 * -5 + x * -5) + x(-5 + x))
24 + 10x + -1x2 = p + -1((25 + -5x) + x(-5 + x))
24 + 10x + -1x2 = p + -1(25 + -5x + (-5 * x + x * x))
24 + 10x + -1x2 = p + -1(25 + -5x + (-5x + x2))

Combine like terms: -5x + -5x = -10x
24 + 10x + -1x2 = p + -1(25 + -10x + x2)
24 + 10x + -1x2 = p + (25 * -1 + -10x * -1 + x2 * -1)
24 + 10x + -1x2 = p + (-25 + 10x + -1x2)

Reorder the terms:
24 + 10x + -1x2 = -25 + p + 10x + -1x2

Add '-10x' to each side of the equation.
24 + 10x + -10x + -1x2 = -25 + p + 10x + -10x + -1x2

Combine like terms: 10x + -10x = 0
24 + 0 + -1x2 = -25 + p + 10x + -10x + -1x2
24 + -1x2 = -25 + p + 10x + -10x + -1x2

Combine like terms: 10x + -10x = 0
24 + -1x2 = -25 + p + 0 + -1x2
24 + -1x2 = -25 + p + -1x2

Add 'x2' to each side of the equation.
24 + -1x2 + x2 = -25 + p + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
24 + 0 = -25 + p + -1x2 + x2
24 = -25 + p + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
24 = -25 + p + 0
24 = -25 + p

Solving
24 = -25 + p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-1p' to each side of the equation.
24 + -1p = -25 + p + -1p

Combine like terms: p + -1p = 0
24 + -1p = -25 + 0
24 + -1p = -25

Add '-24' to each side of the equation.
24 + -24 + -1p = -25 + -24

Combine like terms: 24 + -24 = 0
0 + -1p = -25 + -24
-1p = -25 + -24

Combine like terms: -25 + -24 = -49
-1p = -49

Divide each side by '-1'.
p = 49

Simplifying
p = 49

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