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Simplifying
6x2 + 12 = 17x2
Reorder the terms:
12 + 6x2 = 17x2
Solving
12 + 6x2 = 17x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-17x2' to each side of the equation.
12 + 6x2 + -17x2 = 17x2 + -17x2
Combine like terms: 6x2 + -17x2 = -11x2
12 + -11x2 = 17x2 + -17x2
Combine like terms: 17x2 + -17x2 = 0
12 + -11x2 = 0
Add '-12' to each side of the equation.
12 + -12 + -11x2 = 0 + -12
Combine like terms: 12 + -12 = 0
0 + -11x2 = 0 + -12
-11x2 = 0 + -12
Combine like terms: 0 + -12 = -12
-11x2 = -12
Divide each side by '-11'.
x2 = 1.090909091
Simplifying
x2 = 1.090909091
Take the square root of each side:
x = {-1.044465936, 1.044465936}
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