x^2+680=62x+8

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Solution for x^2+680=62x+8 equation: 


Simplifying
x2 + 680 = 62x + 8

Reorder the terms:
680 + x2 = 62x + 8

Reorder the terms:
680 + x2 = 8 + 62x

Solving
680 + x2 = 8 + 62x

Solving for variable 'x'.

Reorder the terms:
680 + -8 + -62x + x2 = 8 + 62x + -8 + -62x

Combine like terms: 680 + -8 = 672
672 + -62x + x2 = 8 + 62x + -8 + -62x

Reorder the terms:
672 + -62x + x2 = 8 + -8 + 62x + -62x

Combine like terms: 8 + -8 = 0
672 + -62x + x2 = 0 + 62x + -62x
672 + -62x + x2 = 62x + -62x

Combine like terms: 62x + -62x = 0
672 + -62x + x2 = 0

Factor a trinomial.
(14 + -1x)(48 + -1x) = 0


Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

Subproblem 2
Set the factor '(48 + -1x)' equal to zero and attempt to solve:

Simplifying
48 + -1x = 0

Solving
48 + -1x = 0

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

Add '-48' to each side of the equation.
48 + -48 + -1x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -1x = 0 + -48
-1x = 0 + -48

Combine like terms: 0 + -48 = -48
-1x = -48

Divide each side by '-1'.
x = 48

Simplifying
x = 48
Solution
x = {14, 48}

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