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Simplifying
4x2 + 38 = 234
Reorder the terms:
38 + 4x2 = 234
Solving
38 + 4x2 = 234
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 = 234 + -38
Combine like terms: 38 + -38 = 0
0 + 4x2 = 234 + -38
4x2 = 234 + -38
Combine like terms: 234 + -38 = 196
4x2 = 196
Divide each side by '4'.
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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