x^2-10x+6=5x-50

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Solution for x^2-10x+6=5x-50 equation: 


Simplifying
x2 + -10x + 6 = 5x + -50

Reorder the terms:
6 + -10x + x2 = 5x + -50

Reorder the terms:
6 + -10x + x2 = -50 + 5x

Solving
6 + -10x + x2 = -50 + 5x

Solving for variable 'x'.

Reorder the terms:
6 + 50 + -10x + -5x + x2 = -50 + 5x + 50 + -5x

Combine like terms: 6 + 50 = 56
56 + -10x + -5x + x2 = -50 + 5x + 50 + -5x

Combine like terms: -10x + -5x = -15x
56 + -15x + x2 = -50 + 5x + 50 + -5x

Reorder the terms:
56 + -15x + x2 = -50 + 50 + 5x + -5x

Combine like terms: -50 + 50 = 0
56 + -15x + x2 = 0 + 5x + -5x
56 + -15x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
56 + -15x + x2 = 0

Factor a trinomial.
(7 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {7, 8}

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