x(x)7+16=x(x)5+66

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Solution for x(x)7+16=x(x)5+66 equation: 


Simplifying
x(x) * 7 + 16 = x(x) * 5 + 66

Reorder the terms for easier multiplication:
7x * x + 16 = x(x) * 5 + 66

Multiply x * x
7x2 + 16 = x(x) * 5 + 66

Reorder the terms:
16 + 7x2 = x(x) * 5 + 66

Reorder the terms for easier multiplication:
16 + 7x2 = 5x * x + 66

Multiply x * x
16 + 7x2 = 5x2 + 66

Reorder the terms:
16 + 7x2 = 66 + 5x2

Solving
16 + 7x2 = 66 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
16 + 7x2 + -5x2 = 66 + 5x2 + -5x2

Combine like terms: 7x2 + -5x2 = 2x2
16 + 2x2 = 66 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
16 + 2x2 = 66 + 0
16 + 2x2 = 66

Add '-16' to each side of the equation.
16 + -16 + 2x2 = 66 + -16

Combine like terms: 16 + -16 = 0
0 + 2x2 = 66 + -16
2x2 = 66 + -16

Combine like terms: 66 + -16 = 50
2x2 = 50

Divide each side by '2'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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