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Simplifying
(6x2 + 7) + (x2 + -9) = 0
Reorder the terms:
(7 + 6x2) + (x2 + -9) = 0
Remove parenthesis around (7 + 6x2)
7 + 6x2 + (x2 + -9) = 0
Reorder the terms:
7 + 6x2 + (-9 + x2) = 0
Remove parenthesis around (-9 + x2)
7 + 6x2 + -9 + x2 = 0
Reorder the terms:
7 + -9 + 6x2 + x2 = 0
Combine like terms: 7 + -9 = -2
-2 + 6x2 + x2 = 0
Combine like terms: 6x2 + x2 = 7x2
-2 + 7x2 = 0
Solving
-2 + 7x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 7x2 = 0 + 2
Combine like terms: -2 + 2 = 0
0 + 7x2 = 0 + 2
7x2 = 0 + 2
Combine like terms: 0 + 2 = 2
7x2 = 2
Divide each side by '7'.
x2 = 0.2857142857
Simplifying
x2 = 0.2857142857
Take the square root of each side:
x = {-0.534522484, 0.534522484}
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