27x^2-1+5x^2+17+9x^2=180

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Solution for 27x^2-1+5x^2+17+9x^2=180 equation: 


Simplifying
27x2 + -1 + 5x2 + 17 + 9x2 = 180

Reorder the terms:
-1 + 17 + 27x2 + 5x2 + 9x2 = 180

Combine like terms: -1 + 17 = 16
16 + 27x2 + 5x2 + 9x2 = 180

Combine like terms: 27x2 + 5x2 = 32x2
16 + 32x2 + 9x2 = 180

Combine like terms: 32x2 + 9x2 = 41x2
16 + 41x2 = 180

Solving
16 + 41x2 = 180

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 41x2 = 180 + -16

Combine like terms: 16 + -16 = 0
0 + 41x2 = 180 + -16
41x2 = 180 + -16

Combine like terms: 180 + -16 = 164
41x2 = 164

Divide each side by '41'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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