7x^2-4=100

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Solution for 7x^2-4=100 equation:


Simplifying
7x2 + -4 = 100

Reorder the terms:
-4 + 7x2 = 100

Solving
-4 + 7x2 = 100

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 7x2 = 100 + 4

Combine like terms: -4 + 4 = 0
0 + 7x2 = 100 + 4
7x2 = 100 + 4

Combine like terms: 100 + 4 = 104
7x2 = 104

Divide each side by '7'.
x2 = 14.85714286

Simplifying
x2 = 14.85714286

Take the square root of each side:
x = {-3.854496447, 3.854496447}

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