x*x-1800x+800000=0

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Solution for x*x-1800x+800000=0 equation:


Simplifying
x * x + -1800x + 800000 = 0

Multiply x * x
x2 + -1800x + 800000 = 0

Reorder the terms:
800000 + -1800x + x2 = 0

Solving
800000 + -1800x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(800 + -1x)(1000 + -1x) = 0

Subproblem 1

Set the factor '(800 + -1x)' equal to zero and attempt to solve: Simplifying 800 + -1x = 0 Solving 800 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-800' to each side of the equation. 800 + -800 + -1x = 0 + -800 Combine like terms: 800 + -800 = 0 0 + -1x = 0 + -800 -1x = 0 + -800 Combine like terms: 0 + -800 = -800 -1x = -800 Divide each side by '-1'. x = 800 Simplifying x = 800

Subproblem 2

Set the factor '(1000 + -1x)' equal to zero and attempt to solve: Simplifying 1000 + -1x = 0 Solving 1000 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + -1x = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -1x = 0 + -1000 -1x = 0 + -1000 Combine like terms: 0 + -1000 = -1000 -1x = -1000 Divide each side by '-1'. x = 1000 Simplifying x = 1000

Solution

x = {800, 1000}

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