7x^2-5=31

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Solution for 7x^2-5=31 equation:


Simplifying
7x2 + -5 = 31

Reorder the terms:
-5 + 7x2 = 31

Solving
-5 + 7x2 = 31

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 7x2 = 31 + 5

Combine like terms: -5 + 5 = 0
0 + 7x2 = 31 + 5
7x2 = 31 + 5

Combine like terms: 31 + 5 = 36
7x2 = 36

Divide each side by '7'.
x2 = 5.142857143

Simplifying
x2 = 5.142857143

Take the square root of each side:
x = {-2.267786838, 2.267786838}

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