5x^2+8=2x^2-10

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Solution for 5x^2+8=2x^2-10 equation:


Simplifying
5x2 + 8 = 2x2 + -10

Reorder the terms:
8 + 5x2 = 2x2 + -10

Reorder the terms:
8 + 5x2 = -10 + 2x2

Solving
8 + 5x2 = -10 + 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.
8 + 5x2 + -2x2 = -10 + 2x2 + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
8 + 3x2 = -10 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
8 + 3x2 = -10 + 0
8 + 3x2 = -10

Add '-8' to each side of the equation.
8 + -8 + 3x2 = -10 + -8

Combine like terms: 8 + -8 = 0
0 + 3x2 = -10 + -8
3x2 = -10 + -8

Combine like terms: -10 + -8 = -18
3x2 = -18

Divide each side by '3'.
x2 = -6

Simplifying
x2 = -6

Reorder the terms:
6 + x2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + x2 = 0

The solution to this equation could not be determined.

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