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Simplifying
4x2 + 8 + -77 = 0
Reorder the terms:
8 + -77 + 4x2 = 0
Combine like terms: 8 + -77 = -69
-69 + 4x2 = 0
Solving
-69 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '69' to each side of the equation.
-69 + 69 + 4x2 = 0 + 69
Combine like terms: -69 + 69 = 0
0 + 4x2 = 0 + 69
4x2 = 0 + 69
Combine like terms: 0 + 69 = 69
4x2 = 69
Divide each side by '4'.
x2 = 17.25
Simplifying
x2 = 17.25
Take the square root of each side:
x = {-4.153311931, 4.153311931}
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