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Simplifying
4x2 + -50 = 14
Reorder the terms:
-50 + 4x2 = 14
Solving
-50 + 4x2 = 14
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '50' to each side of the equation.
-50 + 50 + 4x2 = 14 + 50
Combine like terms: -50 + 50 = 0
0 + 4x2 = 14 + 50
4x2 = 14 + 50
Combine like terms: 14 + 50 = 64
4x2 = 64
Divide each side by '4'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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