9000=x^2-18x+56

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Solution for 9000=x^2-18x+56 equation:


Simplifying
9000 = x2 + -18x + 56

Reorder the terms:
9000 = 56 + -18x + x2

Solving
9000 = 56 + -18x + x2

Solving for variable 'x'.

Combine like terms: 9000 + -56 = 8944
8944 + 18x + -1x2 = 56 + -18x + x2 + -56 + 18x + -1x2

Reorder the terms:
8944 + 18x + -1x2 = 56 + -56 + -18x + 18x + x2 + -1x2

Combine like terms: 56 + -56 = 0
8944 + 18x + -1x2 = 0 + -18x + 18x + x2 + -1x2
8944 + 18x + -1x2 = -18x + 18x + x2 + -1x2

Combine like terms: -18x + 18x = 0
8944 + 18x + -1x2 = 0 + x2 + -1x2
8944 + 18x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8944 + 18x + -1x2 = 0

Factor a trinomial.
(104 + -1x)(86 + x) = 0

Subproblem 1

Set the factor '(104 + -1x)' equal to zero and attempt to solve: Simplifying 104 + -1x = 0 Solving 104 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + -104 + -1x = 0 + -104 Combine like terms: 104 + -104 = 0 0 + -1x = 0 + -104 -1x = 0 + -104 Combine like terms: 0 + -104 = -104 -1x = -104 Divide each side by '-1'. x = 104 Simplifying x = 104

Subproblem 2

Set the factor '(86 + x)' equal to zero and attempt to solve: Simplifying 86 + x = 0 Solving 86 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + x = 0 + -86 Combine like terms: 86 + -86 = 0 0 + x = 0 + -86 x = 0 + -86 Combine like terms: 0 + -86 = -86 x = -86 Simplifying x = -86

Solution

x = {104, -86}

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