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Simplifying
4x2 + -8 + 5 = 0
Reorder the terms:
-8 + 5 + 4x2 = 0
Combine like terms: -8 + 5 = -3
-3 + 4x2 = 0
Solving
-3 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 4x2 = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 4x2 = 0 + 3
4x2 = 0 + 3
Combine like terms: 0 + 3 = 3
4x2 = 3
Divide each side by '4'.
x2 = 0.75
Simplifying
x2 = 0.75
Take the square root of each side:
x = {-0.866025404, 0.866025404}
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