2x^2+x+15+2x-10=175

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Solution for 2x^2+x+15+2x-10=175 equation: 


Simplifying
2x2 + x + 15 + 2x + -10 = 175

Reorder the terms:
15 + -10 + x + 2x + 2x2 = 175

Combine like terms: 15 + -10 = 5
5 + x + 2x + 2x2 = 175

Combine like terms: x + 2x = 3x
5 + 3x + 2x2 = 175

Solving
5 + 3x + 2x2 = 175

Solving for variable 'x'.

Reorder the terms:
5 + -175 + 3x + 2x2 = 175 + -175

Combine like terms: 5 + -175 = -170
-170 + 3x + 2x2 = 175 + -175

Combine like terms: 175 + -175 = 0
-170 + 3x + 2x2 = 0

Factor a trinomial.
(-10 + -1x)(17 + -2x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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 = {-10, 8.5}

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