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Simplifying
4x2 + -24 + 7 = 3
Reorder the terms:
-24 + 7 + 4x2 = 3
Combine like terms: -24 + 7 = -17
-17 + 4x2 = 3
Solving
-17 + 4x2 = 3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '17' to each side of the equation.
-17 + 17 + 4x2 = 3 + 17
Combine like terms: -17 + 17 = 0
0 + 4x2 = 3 + 17
4x2 = 3 + 17
Combine like terms: 3 + 17 = 20
4x2 = 20
Divide each side by '4'.
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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