5x^2-10=3x^2-2

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Solution for 5x^2-10=3x^2-2 equation: 


Simplifying
5x2 + -10 = 3x2 + -2

Reorder the terms:
-10 + 5x2 = 3x2 + -2

Reorder the terms:
-10 + 5x2 = -2 + 3x2

Solving
-10 + 5x2 = -2 + 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.
-10 + 5x2 + -3x2 = -2 + 3x2 + -3x2

Combine like terms: 5x2 + -3x2 = 2x2
-10 + 2x2 = -2 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-10 + 2x2 = -2 + 0
-10 + 2x2 = -2

Add '10' to each side of the equation.
-10 + 10 + 2x2 = -2 + 10

Combine like terms: -10 + 10 = 0
0 + 2x2 = -2 + 10
2x2 = -2 + 10

Combine like terms: -2 + 10 = 8
2x2 = 8

Divide each side by '2'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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