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Simplifying
7x2 + -29 + 24 = 0
Reorder the terms:
-29 + 24 + 7x2 = 0
Combine like terms: -29 + 24 = -5
-5 + 7x2 = 0
Solving
-5 + 7x2 = 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 + 7x2 = 0 + 5
Combine like terms: -5 + 5 = 0
0 + 7x2 = 0 + 5
7x2 = 0 + 5
Combine like terms: 0 + 5 = 5
7x2 = 5
Divide each side by '7'.
x2 = 0.7142857143
Simplifying
x2 = 0.7142857143
Take the square root of each side:
x = {-0.845154255, 0.845154255}
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