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Simplifying
5 + -6x2 = 3x2 + -9
Reorder the terms:
5 + -6x2 = -9 + 3x2
Solving
5 + -6x2 = -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.
5 + -6x2 + -3x2 = -9 + 3x2 + -3x2
Combine like terms: -6x2 + -3x2 = -9x2
5 + -9x2 = -9 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
5 + -9x2 = -9 + 0
5 + -9x2 = -9
Add '-5' to each side of the equation.
5 + -5 + -9x2 = -9 + -5
Combine like terms: 5 + -5 = 0
0 + -9x2 = -9 + -5
-9x2 = -9 + -5
Combine like terms: -9 + -5 = -14
-9x2 = -14
Divide each side by '-9'.
x2 = 1.555555556
Simplifying
x2 = 1.555555556
Take the square root of each side:
x = {-1.247219129, 1.247219129}
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