2x^2-9=-3x^2+16

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Solution for 2x^2-9=-3x^2+16 equation: 


Simplifying
2x2 + -9 = -3x2 + 16

Reorder the terms:
-9 + 2x2 = -3x2 + 16

Reorder the terms:
-9 + 2x2 = 16 + -3x2

Solving
-9 + 2x2 = 16 + -3x2

Solving for variable 'x'.

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

Add '3x2' to each side of the equation.
-9 + 2x2 + 3x2 = 16 + -3x2 + 3x2

Combine like terms: 2x2 + 3x2 = 5x2
-9 + 5x2 = 16 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-9 + 5x2 = 16 + 0
-9 + 5x2 = 16

Add '9' to each side of the equation.
-9 + 9 + 5x2 = 16 + 9

Combine like terms: -9 + 9 = 0
0 + 5x2 = 16 + 9
5x2 = 16 + 9

Combine like terms: 16 + 9 = 25
5x2 = 25

Divide each side by '5'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}

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