x^2-16x+64=100

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Solution for x^2-16x+64=100 equation:


Simplifying
x2 + -16x + 64 = 100

Reorder the terms:
64 + -16x + x2 = 100

Solving
64 + -16x + x2 = 100

Solving for variable 'x'.

Reorder the terms:
64 + -100 + -16x + x2 = 100 + -100

Combine like terms: 64 + -100 = -36
-36 + -16x + x2 = 100 + -100

Combine like terms: 100 + -100 = 0
-36 + -16x + x2 = 0

Factor a trinomial.
(-2 + -1x)(18 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18

Solution

x = {-2, 18}

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