x^2-20x+125=4x-10

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Solution for x^2-20x+125=4x-10 equation: 


Simplifying
x2 + -20x + 125 = 4x + -10

Reorder the terms:
125 + -20x + x2 = 4x + -10

Reorder the terms:
125 + -20x + x2 = -10 + 4x

Solving
125 + -20x + x2 = -10 + 4x

Solving for variable 'x'.

Reorder the terms:
125 + 10 + -20x + -4x + x2 = -10 + 4x + 10 + -4x

Combine like terms: 125 + 10 = 135
135 + -20x + -4x + x2 = -10 + 4x + 10 + -4x

Combine like terms: -20x + -4x = -24x
135 + -24x + x2 = -10 + 4x + 10 + -4x

Reorder the terms:
135 + -24x + x2 = -10 + 10 + 4x + -4x

Combine like terms: -10 + 10 = 0
135 + -24x + x2 = 0 + 4x + -4x
135 + -24x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
135 + -24x + x2 = 0

Factor a trinomial.
(9 + -1x)(15 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {9, 15}

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