-3x^2+5=2x^2-5

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


Simplifying
-3x2 + 5 = 2x2 + -5

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

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

Solving
5 + -3x2 = -5 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
5 + -3x2 + -2x2 = -5 + 2x2 + -2x2

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

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

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

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

Combine like terms: -5 + -5 = -10
-5x2 = -10

Divide each side by '-5'.
x2 = 2

Simplifying
x2 = 2

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

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