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Simplifying
8x2 + -9 = 45
Reorder the terms:
-9 + 8x2 = 45
Solving
-9 + 8x2 = 45
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 8x2 = 45 + 9
Combine like terms: -9 + 9 = 0
0 + 8x2 = 45 + 9
8x2 = 45 + 9
Combine like terms: 45 + 9 = 54
8x2 = 54
Divide each side by '8'.
x2 = 6.75
Simplifying
x2 = 6.75
Take the square root of each side:
x = {-2.598076211, 2.598076211}
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