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Simplifying
5x2 + -34 + 24 = 0
Reorder the terms:
-34 + 24 + 5x2 = 0
Combine like terms: -34 + 24 = -10
-10 + 5x2 = 0
Solving
-10 + 5x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 5x2 = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 5x2 = 0 + 10
5x2 = 0 + 10
Combine like terms: 0 + 10 = 10
5x2 = 10
Divide each side by '5'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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