2x^2-2=-5x^2-1

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Solution for 2x^2-2=-5x^2-1 equation: 


Simplifying
2x2 + -2 = -5x2 + -1

Reorder the terms:
-2 + 2x2 = -5x2 + -1

Reorder the terms:
-2 + 2x2 = -1 + -5x2

Solving
-2 + 2x2 = -1 + -5x2

Solving for variable 'x'.

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

Add '5x2' to each side of the equation.
-2 + 2x2 + 5x2 = -1 + -5x2 + 5x2

Combine like terms: 2x2 + 5x2 = 7x2
-2 + 7x2 = -1 + -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-2 + 7x2 = -1 + 0
-2 + 7x2 = -1

Add '2' to each side of the equation.
-2 + 2 + 7x2 = -1 + 2

Combine like terms: -2 + 2 = 0
0 + 7x2 = -1 + 2
7x2 = -1 + 2

Combine like terms: -1 + 2 = 1
7x2 = 1

Divide each side by '7'.
x2 = 0.1428571429

Simplifying
x2 = 0.1428571429

Take the square root of each side:
x = {-0.377964473, 0.377964473}

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