(7+x)2+(7x)2=130

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Solution for (7+x)2+(7x)2=130 equation:


Simplifying
(7 + x) * 2 + (7x) * 2 = 130

Reorder the terms for easier multiplication:
2(7 + x) + (7x) * 2 = 130
(7 * 2 + x * 2) + (7x) * 2 = 130
(14 + 2x) + (7x) * 2 = 130

Remove parenthesis around (7x)
14 + 2x + 7x * 2 = 130

Reorder the terms for easier multiplication:
14 + 2x + 7 * 2x = 130

Multiply 7 * 2
14 + 2x + 14x = 130

Combine like terms: 2x + 14x = 16x
14 + 16x = 130

Solving
14 + 16x = 130

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 16x = 130 + -14

Combine like terms: 14 + -14 = 0
0 + 16x = 130 + -14
16x = 130 + -14

Combine like terms: 130 + -14 = 116
16x = 116

Divide each side by '16'.
x = 7.25

Simplifying
x = 7.25

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