2x^2=7x^2-80

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Solution for 2x^2=7x^2-80 equation: 


Simplifying
2x2 = 7x2 + -80

Reorder the terms:
2x2 = -80 + 7x2

Solving
2x2 = -80 + 7x2

Solving for variable 'x'.

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

Add '-7x2' to each side of the equation.
2x2 + -7x2 = -80 + 7x2 + -7x2

Combine like terms: 2x2 + -7x2 = -5x2
-5x2 = -80 + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-5x2 = -80 + 0
-5x2 = -80

Divide each side by '-5'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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