5x^2-8=192

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Solution for 5x^2-8=192 equation:


Simplifying
5x2 + -8 = 192

Reorder the terms:
-8 + 5x2 = 192

Solving
-8 + 5x2 = 192

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 5x2 = 192 + 8

Combine like terms: -8 + 8 = 0
0 + 5x2 = 192 + 8
5x2 = 192 + 8

Combine like terms: 192 + 8 = 200
5x2 = 200

Divide each side by '5'.
x2 = 40

Simplifying
x2 = 40

Take the square root of each side:
x = {-6.32455532, 6.32455532}

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