x^2-10x+25=36

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Solution for x^2-10x+25=36 equation:


Simplifying
x2 + -10x + 25 = 36

Reorder the terms:
25 + -10x + x2 = 36

Solving
25 + -10x + x2 = 36

Solving for variable 'x'.

Reorder the terms:
25 + -36 + -10x + x2 = 36 + -36

Combine like terms: 25 + -36 = -11
-11 + -10x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-11 + -10x + x2 = 0

Factor a trinomial.
(-1 + -1x)(11 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11

Solution

x = {-1, 11}

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