(2x^2+5)-(3x^2-9)=

Solution for (2x^2+5)-(3x^2-9)= equation:

Simplifying
(2x2 + 5) + -1(3x2 + -9) = 0

Reorder the terms:
(5 + 2x2) + -1(3x2 + -9) = 0

Remove parenthesis around (5 + 2x2)
5 + 2x2 + -1(3x2 + -9) = 0

Reorder the terms:
5 + 2x2 + -1(-9 + 3x2) = 0
5 + 2x2 + (-9 * -1 + 3x2 * -1) = 0
5 + 2x2 + (9 + -3x2) = 0

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

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

Combine like terms: 2x2 + -3x2 = -1x2
14 + -1x2 = 0

Solving
14 + -1x2 = 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 + -1x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x2 = 0 + -14
-1x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-1x2 = -14

Divide each side by '-1'.
x2 = 14

Simplifying
x2 = 14

Take the square root of each side:
x = {-3.741657387, 3.741657387}