x^2-1728x+47600=0

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Solution for x^2-1728x+47600=0 equation:


Simplifying
x2 + -1728x + 47600 = 0

Reorder the terms:
47600 + -1728x + x2 = 0

Solving
47600 + -1728x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(28 + -1x)(1700 + -1x) = 0

Subproblem 1

Set the factor '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28

Subproblem 2

Set the factor '(1700 + -1x)' equal to zero and attempt to solve: Simplifying 1700 + -1x = 0 Solving 1700 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1700' to each side of the equation. 1700 + -1700 + -1x = 0 + -1700 Combine like terms: 1700 + -1700 = 0 0 + -1x = 0 + -1700 -1x = 0 + -1700 Combine like terms: 0 + -1700 = -1700 -1x = -1700 Divide each side by '-1'. x = 1700 Simplifying x = 1700

Solution

x = {28, 1700}

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