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Simplifying
2x2 + -9x + -3 = 9 + -9x
Reorder the terms:
-3 + -9x + 2x2 = 9 + -9x
Add '9x' to each side of the equation.
-3 + -9x + 9x + 2x2 = 9 + -9x + 9x
Combine like terms: -9x + 9x = 0
-3 + 0 + 2x2 = 9 + -9x + 9x
-3 + 2x2 = 9 + -9x + 9x
Combine like terms: -9x + 9x = 0
-3 + 2x2 = 9 + 0
-3 + 2x2 = 9
Solving
-3 + 2x2 = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 2x2 = 9 + 3
Combine like terms: -3 + 3 = 0
0 + 2x2 = 9 + 3
2x2 = 9 + 3
Combine like terms: 9 + 3 = 12
2x2 = 12
Divide each side by '2'.
x2 = 6
Simplifying
x2 = 6
Take the square root of each side:
x = {-2.449489743, 2.449489743}
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