0=X^2-10X-39

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Solution for 0=X^2-10X-39 equation:


Simplifying
0 = X2 + -10X + -39

Reorder the terms:
0 = -39 + -10X + X2

Solving
0 = -39 + -10X + X2

Solving for variable 'X'.

Combine like terms: 0 + 39 = 39
39 + 10X + -1X2 = -39 + -10X + X2 + 39 + 10X + -1X2

Reorder the terms:
39 + 10X + -1X2 = -39 + 39 + -10X + 10X + X2 + -1X2

Combine like terms: -39 + 39 = 0
39 + 10X + -1X2 = 0 + -10X + 10X + X2 + -1X2
39 + 10X + -1X2 = -10X + 10X + X2 + -1X2

Combine like terms: -10X + 10X = 0
39 + 10X + -1X2 = 0 + X2 + -1X2
39 + 10X + -1X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
39 + 10X + -1X2 = 0

Factor a trinomial.
(13 + -1X)(3 + X) = 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 '(3 + X)' equal to zero and attempt to solve: Simplifying 3 + X = 0 Solving 3 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + X = 0 + -3 X = 0 + -3 Combine like terms: 0 + -3 = -3 X = -3 Simplifying X = -3

Solution

X = {13, -3}

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