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Simplifying
(8x + -3) + (-3x2 + -8x + 9) = 0
Reorder the terms:
(-3 + 8x) + (-3x2 + -8x + 9) = 0
Remove parenthesis around (-3 + 8x)
-3 + 8x + (-3x2 + -8x + 9) = 0
Reorder the terms:
-3 + 8x + (9 + -8x + -3x2) = 0
Remove parenthesis around (9 + -8x + -3x2)
-3 + 8x + 9 + -8x + -3x2 = 0
Reorder the terms:
-3 + 9 + 8x + -8x + -3x2 = 0
Combine like terms: -3 + 9 = 6
6 + 8x + -8x + -3x2 = 0
Combine like terms: 8x + -8x = 0
6 + 0 + -3x2 = 0
6 + -3x2 = 0
Solving
6 + -3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + -3x2 = 0 + -6
Combine like terms: 6 + -6 = 0
0 + -3x2 = 0 + -6
-3x2 = 0 + -6
Combine like terms: 0 + -6 = -6
-3x2 = -6
Divide each side by '-3'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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