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Simplifying
4x2 + -38 = 0
Reorder the terms:
-38 + 4x2 = 0
Solving
-38 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '38' to each side of the equation.
-38 + 38 + 4x2 = 0 + 38
Combine like terms: -38 + 38 = 0
0 + 4x2 = 0 + 38
4x2 = 0 + 38
Combine like terms: 0 + 38 = 38
4x2 = 38
Divide each side by '4'.
x2 = 9.5
Simplifying
x2 = 9.5
Take the square root of each side:
x = {-3.082207001, 3.082207001}
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