x^2+10x+25=196

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Solution for x^2+10x+25=196 equation:


Simplifying
x2 + 10x + 25 = 196

Reorder the terms:
25 + 10x + x2 = 196

Solving
25 + 10x + x2 = 196

Solving for variable 'x'.

Reorder the terms:
25 + -196 + 10x + x2 = 196 + -196

Combine like terms: 25 + -196 = -171
-171 + 10x + x2 = 196 + -196

Combine like terms: 196 + -196 = 0
-171 + 10x + x2 = 0

Factor a trinomial.
(-19 + -1x)(9 + -1x) = 0

Subproblem 1

Set the factor '(-19 + -1x)' equal to zero and attempt to solve: Simplifying -19 + -1x = 0 Solving -19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 0 + 19 -1x = 0 + 19 Combine like terms: 0 + 19 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-19, 9}

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