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Simplifying
4x2 + -9 = 179
Reorder the terms:
-9 + 4x2 = 179
Solving
-9 + 4x2 = 179
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 4x2 = 179 + 9
Combine like terms: -9 + 9 = 0
0 + 4x2 = 179 + 9
4x2 = 179 + 9
Combine like terms: 179 + 9 = 188
4x2 = 188
Divide each side by '4'.
x2 = 47
Simplifying
x2 = 47
Take the square root of each side:
x = {-6.8556546, 6.8556546}
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