7x^2+23=100

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Solution for 7x^2+23=100 equation:


Simplifying
7x2 + 23 = 100

Reorder the terms:
23 + 7x2 = 100

Solving
23 + 7x2 = 100

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + 7x2 = 100 + -23

Combine like terms: 23 + -23 = 0
0 + 7x2 = 100 + -23
7x2 = 100 + -23

Combine like terms: 100 + -23 = 77
7x2 = 77

Divide each side by '7'.
x2 = 11

Simplifying
x2 = 11

Take the square root of each side:
x = {-3.31662479, 3.31662479}

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