x^2-10x-25=14

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Solution for x^2-10x-25=14 equation:


Simplifying
x2 + -10x + -25 = 14

Reorder the terms:
-25 + -10x + x2 = 14

Solving
-25 + -10x + x2 = 14

Solving for variable 'x'.

Reorder the terms:
-25 + -14 + -10x + x2 = 14 + -14

Combine like terms: -25 + -14 = -39
-39 + -10x + x2 = 14 + -14

Combine like terms: 14 + -14 = 0
-39 + -10x + x2 = 0

Factor a trinomial.
(-3 + -1x)(13 + -1x) = 0

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

Subproblem 2

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

Solution

x = {-3, 13}

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