x^2-25x+25=-5x-2x^2

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Solution for x^2-25x+25=-5x-2x^2 equation: 


Simplifying
x2 + -25x + 25 = -5x + -2x2

Reorder the terms:
25 + -25x + x2 = -5x + -2x2

Solving
25 + -25x + x2 = -5x + -2x2

Solving for variable 'x'.

Reorder the terms:
25 + -25x + 5x + x2 + 2x2 = -5x + -2x2 + 5x + 2x2

Combine like terms: -25x + 5x = -20x
25 + -20x + x2 + 2x2 = -5x + -2x2 + 5x + 2x2

Combine like terms: x2 + 2x2 = 3x2
25 + -20x + 3x2 = -5x + -2x2 + 5x + 2x2

Reorder the terms:
25 + -20x + 3x2 = -5x + 5x + -2x2 + 2x2

Combine like terms: -5x + 5x = 0
25 + -20x + 3x2 = 0 + -2x2 + 2x2
25 + -20x + 3x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
25 + -20x + 3x2 = 0

Factor a trinomial.
(5 + -3x)(5 + -1x) = 0


Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {1.666666667, 5}

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