5x^2-45+30=0

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Solution for 5x^2-45+30=0 equation:


Simplifying
5x2 + -45 + 30 = 0

Reorder the terms:
-45 + 30 + 5x2 = 0

Combine like terms: -45 + 30 = -15
-15 + 5x2 = 0

Solving
-15 + 5x2 = 0

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 5x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 5x2 = 0 + 15
5x2 = 0 + 15

Combine like terms: 0 + 15 = 15
5x2 = 15

Divide each side by '5'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}

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