5x^2+17=97

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Solution for 5x^2+17=97 equation:


Simplifying
5x2 + 17 = 97

Reorder the terms:
17 + 5x2 = 97

Solving
17 + 5x2 = 97

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 5x2 = 97 + -17

Combine like terms: 17 + -17 = 0
0 + 5x2 = 97 + -17
5x2 = 97 + -17

Combine like terms: 97 + -17 = 80
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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