2x^2+30=9x+98

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Solution for 2x^2+30=9x+98 equation: 


Simplifying
2x2 + 30 = 9x + 98

Reorder the terms:
30 + 2x2 = 9x + 98

Reorder the terms:
30 + 2x2 = 98 + 9x

Solving
30 + 2x2 = 98 + 9x

Solving for variable 'x'.

Reorder the terms:
30 + -98 + -9x + 2x2 = 98 + 9x + -98 + -9x

Combine like terms: 30 + -98 = -68
-68 + -9x + 2x2 = 98 + 9x + -98 + -9x

Reorder the terms:
-68 + -9x + 2x2 = 98 + -98 + 9x + -9x

Combine like terms: 98 + -98 = 0
-68 + -9x + 2x2 = 0 + 9x + -9x
-68 + -9x + 2x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-68 + -9x + 2x2 = 0

Factor a trinomial.
(-4 + -1x)(17 + -2x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(17 + -2x)' equal to zero and attempt to solve:

Simplifying
17 + -2x = 0

Solving
17 + -2x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -2x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 0 + -17
-2x = 0 + -17

Combine like terms: 0 + -17 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5
Solution
x = {-4, 8.5}

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