2x^2-3x-6x+9+5x^2+9x-23=0

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Solution for 2x^2-3x-6x+9+5x^2+9x-23=0 equation: 


Simplifying
2x2 + -3x + -6x + 9 + 5x2 + 9x + -23 = 0

Reorder the terms:
9 + -23 + -3x + -6x + 9x + 2x2 + 5x2 = 0

Combine like terms: 9 + -23 = -14
-14 + -3x + -6x + 9x + 2x2 + 5x2 = 0

Combine like terms: -3x + -6x = -9x
-14 + -9x + 9x + 2x2 + 5x2 = 0

Combine like terms: -9x + 9x = 0
-14 + 0 + 2x2 + 5x2 = 0
-14 + 2x2 + 5x2 = 0

Combine like terms: 2x2 + 5x2 = 7x2
-14 + 7x2 = 0

Solving
-14 + 7x2 = 0

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 7x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 7x2 = 0 + 14
7x2 = 0 + 14

Combine like terms: 0 + 14 = 14
7x2 = 14

Divide each side by '7'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}

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