x^2-10=3x+98

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Solution for x^2-10=3x+98 equation: 


Simplifying
x2 + -10 = 3x + 98

Reorder the terms:
-10 + x2 = 3x + 98

Reorder the terms:
-10 + x2 = 98 + 3x

Solving
-10 + x2 = 98 + 3x

Solving for variable 'x'.

Reorder the terms:
-10 + -98 + -3x + x2 = 98 + 3x + -98 + -3x

Combine like terms: -10 + -98 = -108
-108 + -3x + x2 = 98 + 3x + -98 + -3x

Reorder the terms:
-108 + -3x + x2 = 98 + -98 + 3x + -3x

Combine like terms: 98 + -98 = 0
-108 + -3x + x2 = 0 + 3x + -3x
-108 + -3x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-108 + -3x + x2 = 0

Factor a trinomial.
(-9 + -1x)(12 + -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 '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-9, 12}

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