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Simplifying
4x2 + (-3) + -2 = 0
4x2 + -3 + -2 = 0
Reorder the terms:
-3 + -2 + 4x2 = 0
Combine like terms: -3 + -2 = -5
-5 + 4x2 = 0
Solving
-5 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 4x2 = 0 + 5
Combine like terms: -5 + 5 = 0
0 + 4x2 = 0 + 5
4x2 = 0 + 5
Combine like terms: 0 + 5 = 5
4x2 = 5
Divide each side by '4'.
x2 = 1.25
Simplifying
x2 = 1.25
Take the square root of each side:
x = {-1.118033989, 1.118033989}
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