5x*x=343-2x*x

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Solution for 5x*x=343-2x*x equation: 


Simplifying
5x * x = 343 + -2x * x

Multiply x * x
5x2 = 343 + -2x * x

Multiply x * x
5x2 = 343 + -2x2

Solving
5x2 = 343 + -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.
5x2 + 2x2 = 343 + -2x2 + 2x2

Combine like terms: 5x2 + 2x2 = 7x2
7x2 = 343 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
7x2 = 343 + 0
7x2 = 343

Divide each side by '7'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}

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