75=3x^2-9

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Solution for 75=3x^2-9 equation:


Simplifying
75 = 3x2 + -9

Reorder the terms:
75 = -9 + 3x2

Solving
75 = -9 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
75 + -3x2 = -9 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
75 + -3x2 = -9 + 0
75 + -3x2 = -9

Add '-75' to each side of the equation.
75 + -75 + -3x2 = -9 + -75

Combine like terms: 75 + -75 = 0
0 + -3x2 = -9 + -75
-3x2 = -9 + -75

Combine like terms: -9 + -75 = -84
-3x2 = -84

Divide each side by '-3'.
x2 = 28

Simplifying
x2 = 28

Take the square root of each side:
x = {-5.291502622, 5.291502622}

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