7(x^2+7)=100

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Solution for 7(x^2+7)=100 equation:


Simplifying
7(x2 + 7) = 100

Reorder the terms:
7(7 + x2) = 100
(7 * 7 + x2 * 7) = 100
(49 + 7x2) = 100

Solving
49 + 7x2 = 100

Solving for variable 'x'.

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

Add '-49' to each side of the equation.
49 + -49 + 7x2 = 100 + -49

Combine like terms: 49 + -49 = 0
0 + 7x2 = 100 + -49
7x2 = 100 + -49

Combine like terms: 100 + -49 = 51
7x2 = 51

Divide each side by '7'.
x2 = 7.285714286

Simplifying
x2 = 7.285714286

Take the square root of each side:
x = {-2.699206233, 2.699206233}

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