7x^2+56=3x^2-8

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Solution for 7x^2+56=3x^2-8 equation:


Simplifying
7x2 + 56 = 3x2 + -8

Reorder the terms:
56 + 7x2 = 3x2 + -8

Reorder the terms:
56 + 7x2 = -8 + 3x2

Solving
56 + 7x2 = -8 + 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.
56 + 7x2 + -3x2 = -8 + 3x2 + -3x2

Combine like terms: 7x2 + -3x2 = 4x2
56 + 4x2 = -8 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
56 + 4x2 = -8 + 0
56 + 4x2 = -8

Add '-56' to each side of the equation.
56 + -56 + 4x2 = -8 + -56

Combine like terms: 56 + -56 = 0
0 + 4x2 = -8 + -56
4x2 = -8 + -56

Combine like terms: -8 + -56 = -64
4x2 = -64

Divide each side by '4'.
x2 = -16

Simplifying
x2 = -16

Reorder the terms:
16 + x2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + x2 = 0

The solution to this equation could not be determined.

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