x^2-170x+169=0

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Solution for x^2-170x+169=0 equation:


Simplifying
x2 + -170x + 169 = 0

Reorder the terms:
169 + -170x + x2 = 0

Solving
169 + -170x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(169 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(169 + -1x)' equal to zero and attempt to solve: Simplifying 169 + -1x = 0 Solving 169 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-169' to each side of the equation. 169 + -169 + -1x = 0 + -169 Combine like terms: 169 + -169 = 0 0 + -1x = 0 + -169 -1x = 0 + -169 Combine like terms: 0 + -169 = -169 -1x = -169 Divide each side by '-1'. x = 169 Simplifying x = 169

Solution

x = {1, 169}

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