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Simplifying
24x2 + 14x2 + -3 = 0
Reorder the terms:
-3 + 24x2 + 14x2 = 0
Combine like terms: 24x2 + 14x2 = 38x2
-3 + 38x2 = 0
Solving
-3 + 38x2 = 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 + 38x2 = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 38x2 = 0 + 3
38x2 = 0 + 3
Combine like terms: 0 + 3 = 3
38x2 = 3
Divide each side by '38'.
x2 = 0.07894736842
Simplifying
x2 = 0.07894736842
Take the square root of each side:
x = {-0.280975743, 0.280975743}
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