5x^2-111=14

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Solution for 5x^2-111=14 equation:


Simplifying
5x2 + -111 = 14

Reorder the terms:
-111 + 5x2 = 14

Solving
-111 + 5x2 = 14

Solving for variable 'x'.

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

Add '111' to each side of the equation.
-111 + 111 + 5x2 = 14 + 111

Combine like terms: -111 + 111 = 0
0 + 5x2 = 14 + 111
5x2 = 14 + 111

Combine like terms: 14 + 111 = 125
5x2 = 125

Divide each side by '5'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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