5x^2-10=2x^2

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


Simplifying
5x2 + -10 = 2x2

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

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

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

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

Add '10' to each side of the equation.
-10 + 10 + 3x2 = 0 + 10

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

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

Divide each side by '3'.
x2 = 3.333333333

Simplifying
x2 = 3.333333333

Take the square root of each side:
x = {-1.825741858, 1.825741858}

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