x^2=-5x+104

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Solution for x^2=-5x+104 equation:


Simplifying
x2 = -5x + 104

Reorder the terms:
x2 = 104 + -5x

Solving
x2 = 104 + -5x

Solving for variable 'x'.

Reorder the terms:
-104 + 5x + x2 = 104 + -5x + -104 + 5x

Reorder the terms:
-104 + 5x + x2 = 104 + -104 + -5x + 5x

Combine like terms: 104 + -104 = 0
-104 + 5x + x2 = 0 + -5x + 5x
-104 + 5x + x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-104 + 5x + x2 = 0

Factor a trinomial.
(-13 + -1x)(8 + -1x) = 0

Subproblem 1

Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13

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 = {-13, 8}

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