17+2(4+2x(x))=33

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Solution for 17+2(4+2x(x))=33 equation:


Simplifying
17 + 2(4 + 2x(x)) = 33

Multiply x * x
17 + 2(4 + 2x2) = 33
17 + (4 * 2 + 2x2 * 2) = 33
17 + (8 + 4x2) = 33

Combine like terms: 17 + 8 = 25
25 + 4x2 = 33

Solving
25 + 4x2 = 33

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 4x2 = 33 + -25

Combine like terms: 25 + -25 = 0
0 + 4x2 = 33 + -25
4x2 = 33 + -25

Combine like terms: 33 + -25 = 8
4x2 = 8

Divide each side by '4'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}

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