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Simplifying
4x2 + -18 = 94
Reorder the terms:
-18 + 4x2 = 94
Solving
-18 + 4x2 = 94
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + 4x2 = 94 + 18
Combine like terms: -18 + 18 = 0
0 + 4x2 = 94 + 18
4x2 = 94 + 18
Combine like terms: 94 + 18 = 112
4x2 = 112
Divide each side by '4'.
x2 = 28
Simplifying
x2 = 28
Take the square root of each side:
x = {-5.291502622, 5.291502622}
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