2x^2-5x-25=x^2-10x+25

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Solution for 2x^2-5x-25=x^2-10x+25 equation: 


Simplifying
2x2 + -5x + -25 = x2 + -10x + 25

Reorder the terms:
-25 + -5x + 2x2 = x2 + -10x + 25

Reorder the terms:
-25 + -5x + 2x2 = 25 + -10x + x2

Solving
-25 + -5x + 2x2 = 25 + -10x + x2

Solving for variable 'x'.

Reorder the terms:
-25 + -25 + -5x + 10x + 2x2 + -1x2 = 25 + -10x + x2 + -25 + 10x + -1x2

Combine like terms: -25 + -25 = -50
-50 + -5x + 10x + 2x2 + -1x2 = 25 + -10x + x2 + -25 + 10x + -1x2

Combine like terms: -5x + 10x = 5x
-50 + 5x + 2x2 + -1x2 = 25 + -10x + x2 + -25 + 10x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-50 + 5x + 1x2 = 25 + -10x + x2 + -25 + 10x + -1x2

Reorder the terms:
-50 + 5x + 1x2 = 25 + -25 + -10x + 10x + x2 + -1x2

Combine like terms: 25 + -25 = 0
-50 + 5x + 1x2 = 0 + -10x + 10x + x2 + -1x2
-50 + 5x + 1x2 = -10x + 10x + x2 + -1x2

Combine like terms: -10x + 10x = 0
-50 + 5x + 1x2 = 0 + x2 + -1x2
-50 + 5x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-50 + 5x + 1x2 = 0

Factor a trinomial.
(-10 + -1x)(5 + -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 '(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 = {-10, 5}

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