x^2-8x+25=x(x-4)-25(x-5)-16

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Solution for x^2-8x+25=x(x-4)-25(x-5)-16 equation: 


Simplifying
x2 + -8x + 25 = x(x + -4) + -25(x + -5) + -16

Reorder the terms:
25 + -8x + x2 = x(x + -4) + -25(x + -5) + -16

Reorder the terms:
25 + -8x + x2 = x(-4 + x) + -25(x + -5) + -16
25 + -8x + x2 = (-4 * x + x * x) + -25(x + -5) + -16
25 + -8x + x2 = (-4x + x2) + -25(x + -5) + -16

Reorder the terms:
25 + -8x + x2 = -4x + x2 + -25(-5 + x) + -16
25 + -8x + x2 = -4x + x2 + (-5 * -25 + x * -25) + -16
25 + -8x + x2 = -4x + x2 + (125 + -25x) + -16

Reorder the terms:
25 + -8x + x2 = 125 + -16 + -4x + -25x + x2

Combine like terms: 125 + -16 = 109
25 + -8x + x2 = 109 + -4x + -25x + x2

Combine like terms: -4x + -25x = -29x
25 + -8x + x2 = 109 + -29x + x2

Add '-1x2' to each side of the equation.
25 + -8x + x2 + -1x2 = 109 + -29x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + -8x + 0 = 109 + -29x + x2 + -1x2
25 + -8x = 109 + -29x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + -8x = 109 + -29x + 0
25 + -8x = 109 + -29x

Solving
25 + -8x = 109 + -29x

Solving for variable 'x'.

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

Add '29x' to each side of the equation.
25 + -8x + 29x = 109 + -29x + 29x

Combine like terms: -8x + 29x = 21x
25 + 21x = 109 + -29x + 29x

Combine like terms: -29x + 29x = 0
25 + 21x = 109 + 0
25 + 21x = 109

Add '-25' to each side of the equation.
25 + -25 + 21x = 109 + -25

Combine like terms: 25 + -25 = 0
0 + 21x = 109 + -25
21x = 109 + -25

Combine like terms: 109 + -25 = 84
21x = 84

Divide each side by '21'.
x = 4

Simplifying
x = 4

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