x^2-9x+94=5x+45

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Solution for x^2-9x+94=5x+45 equation: 


Simplifying
x2 + -9x + 94 = 5x + 45

Reorder the terms:
94 + -9x + x2 = 5x + 45

Reorder the terms:
94 + -9x + x2 = 45 + 5x

Solving
94 + -9x + x2 = 45 + 5x

Solving for variable 'x'.

Reorder the terms:
94 + -45 + -9x + -5x + x2 = 45 + 5x + -45 + -5x

Combine like terms: 94 + -45 = 49
49 + -9x + -5x + x2 = 45 + 5x + -45 + -5x

Combine like terms: -9x + -5x = -14x
49 + -14x + x2 = 45 + 5x + -45 + -5x

Reorder the terms:
49 + -14x + x2 = 45 + -45 + 5x + -5x

Combine like terms: 45 + -45 = 0
49 + -14x + x2 = 0 + 5x + -5x
49 + -14x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
49 + -14x + x2 = 0

Factor a trinomial.
(7 + -1x)(7 + -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 '(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
Solution
x = {7, 7}

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