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Simplifying
4x2 + 3 = 259
Reorder the terms:
3 + 4x2 = 259
Solving
3 + 4x2 = 259
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 + 4x2 = 259 + -3
Combine like terms: 3 + -3 = 0
0 + 4x2 = 259 + -3
4x2 = 259 + -3
Combine like terms: 259 + -3 = 256
4x2 = 256
Divide each side by '4'.
x2 = 64
Simplifying
x2 = 64
Take the square root of each side:
x = {-8, 8}
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