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Simplifying
4x2 + -9 = -5
Reorder the terms:
-9 + 4x2 = -5
Solving
-9 + 4x2 = -5
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 + 4x2 = -5 + 9
Combine like terms: -9 + 9 = 0
0 + 4x2 = -5 + 9
4x2 = -5 + 9
Combine like terms: -5 + 9 = 4
4x2 = 4
Divide each side by '4'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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