x^2-24x=(-44)

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Solution for x^2-24x=(-44) equation:


Simplifying
x2 + -24x = (-44)

Reorder the terms:
-24x + x2 = (-44)
-24x + x2 = -44

Solving
-24x + x2 = -44

Solving for variable 'x'.

Reorder the terms:
44 + -24x + x2 = -44 + 44

Combine like terms: -44 + 44 = 0
44 + -24x + x2 = 0

Factor a trinomial.
(2 + -1x)(22 + -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 '(22 + -1x)' equal to zero and attempt to solve: Simplifying 22 + -1x = 0 Solving 22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 0 + -22 -1x = 0 + -22 Combine like terms: 0 + -22 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22

Solution

x = {2, 22}

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