2x^2-8x+5=5x+50

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Solution for 2x^2-8x+5=5x+50 equation: 


Simplifying
2x2 + -8x + 5 = 5x + 50

Reorder the terms:
5 + -8x + 2x2 = 5x + 50

Reorder the terms:
5 + -8x + 2x2 = 50 + 5x

Solving
5 + -8x + 2x2 = 50 + 5x

Solving for variable 'x'.

Reorder the terms:
5 + -50 + -8x + -5x + 2x2 = 50 + 5x + -50 + -5x

Combine like terms: 5 + -50 = -45
-45 + -8x + -5x + 2x2 = 50 + 5x + -50 + -5x

Combine like terms: -8x + -5x = -13x
-45 + -13x + 2x2 = 50 + 5x + -50 + -5x

Reorder the terms:
-45 + -13x + 2x2 = 50 + -50 + 5x + -5x

Combine like terms: 50 + -50 = 0
-45 + -13x + 2x2 = 0 + 5x + -5x
-45 + -13x + 2x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-45 + -13x + 2x2 = 0

Factor a trinomial.
(-5 + -2x)(9 + -1x) = 0


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

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 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 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
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
Solution
x = {-2.5, 9}

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