2x=x^2-8x+16

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Solution for 2x=x^2-8x+16 equation:


Simplifying
2x = x2 + -8x + 16

Reorder the terms:
2x = 16 + -8x + x2

Solving
2x = 16 + -8x + x2

Solving for variable 'x'.

Reorder the terms:
-16 + 2x + 8x + -1x2 = 16 + -8x + x2 + -16 + 8x + -1x2

Combine like terms: 2x + 8x = 10x
-16 + 10x + -1x2 = 16 + -8x + x2 + -16 + 8x + -1x2

Reorder the terms:
-16 + 10x + -1x2 = 16 + -16 + -8x + 8x + x2 + -1x2

Combine like terms: 16 + -16 = 0
-16 + 10x + -1x2 = 0 + -8x + 8x + x2 + -1x2
-16 + 10x + -1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
-16 + 10x + -1x2 = 0 + x2 + -1x2
-16 + 10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 + 10x + -1x2 = 0

Factor a trinomial.
(-8 + x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {8, 2}

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