X^2+-56+-X=0

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Solution for X^2+-56+-X=0 equation:


Simplifying
X2 + -56 + -1X = 0

Reorder the terms:
-56 + -1X + X2 = 0

Solving
-56 + -1X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-7 + -1X)(8 + -1X) = 0

Subproblem 1

Set the factor '(-7 + -1X)' equal to zero and attempt to solve: Simplifying -7 + -1X = 0 Solving -7 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1X = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1X = 0 + 7 -1X = 0 + 7 Combine like terms: 0 + 7 = 7 -1X = 7 Divide each side by '-1'. X = -7 Simplifying X = -7

Subproblem 2

Set the factor '(8 + -1X)' equal to zero and attempt to solve: Simplifying 8 + -1X = 0 Solving 8 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X = 0 + -8 -1X = 0 + -8 Combine like terms: 0 + -8 = -8 -1X = -8 Divide each side by '-1'. X = 8 Simplifying X = 8

Solution

X = {-7, 8}

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