x^2-13x+200=16x+10

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Solution for x^2-13x+200=16x+10 equation: 


Simplifying
x2 + -13x + 200 = 16x + 10

Reorder the terms:
200 + -13x + x2 = 16x + 10

Reorder the terms:
200 + -13x + x2 = 10 + 16x

Solving
200 + -13x + x2 = 10 + 16x

Solving for variable 'x'.

Reorder the terms:
200 + -10 + -13x + -16x + x2 = 10 + 16x + -10 + -16x

Combine like terms: 200 + -10 = 190
190 + -13x + -16x + x2 = 10 + 16x + -10 + -16x

Combine like terms: -13x + -16x = -29x
190 + -29x + x2 = 10 + 16x + -10 + -16x

Reorder the terms:
190 + -29x + x2 = 10 + -10 + 16x + -16x

Combine like terms: 10 + -10 = 0
190 + -29x + x2 = 0 + 16x + -16x
190 + -29x + x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
190 + -29x + x2 = 0

Factor a trinomial.
(10 + -1x)(19 + -1x) = 0


Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 2
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
Solution
x = {10, 19}

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