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Simplifying
4x2 + 8 + -9 = 0
Reorder the terms:
8 + -9 + 4x2 = 0
Combine like terms: 8 + -9 = -1
-1 + 4x2 = 0
Solving
-1 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 4x2 = 0 + 1
Combine like terms: -1 + 1 = 0
0 + 4x2 = 0 + 1
4x2 = 0 + 1
Combine like terms: 0 + 1 = 1
4x2 = 1
Divide each side by '4'.
x2 = 0.25
Simplifying
x2 = 0.25
Take the square root of each side:
x = {-0.5, 0.5}
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