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Simplifying
9x2 + -2 = 2x2 + 3
Reorder the terms:
-2 + 9x2 = 2x2 + 3
Reorder the terms:
-2 + 9x2 = 3 + 2x2
Solving
-2 + 9x2 = 3 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
-2 + 9x2 + -2x2 = 3 + 2x2 + -2x2
Combine like terms: 9x2 + -2x2 = 7x2
-2 + 7x2 = 3 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
-2 + 7x2 = 3 + 0
-2 + 7x2 = 3
Add '2' to each side of the equation.
-2 + 2 + 7x2 = 3 + 2
Combine like terms: -2 + 2 = 0
0 + 7x2 = 3 + 2
7x2 = 3 + 2
Combine like terms: 3 + 2 = 5
7x2 = 5
Divide each side by '7'.
x2 = 0.7142857143
Simplifying
x2 = 0.7142857143
Take the square root of each side:
x = {-0.845154255, 0.845154255}
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