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Simplifying
4x2 + 56 + -204 = 0
Reorder the terms:
56 + -204 + 4x2 = 0
Combine like terms: 56 + -204 = -148
-148 + 4x2 = 0
Solving
-148 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '148' to each side of the equation.
-148 + 148 + 4x2 = 0 + 148
Combine like terms: -148 + 148 = 0
0 + 4x2 = 0 + 148
4x2 = 0 + 148
Combine like terms: 0 + 148 = 148
4x2 = 148
Divide each side by '4'.
x2 = 37
Simplifying
x2 = 37
Take the square root of each side:
x = {-6.08276253, 6.08276253}
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