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Simplifying
4x2 + -100 = 9
Reorder the terms:
-100 + 4x2 = 9
Solving
-100 + 4x2 = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '100' to each side of the equation.
-100 + 100 + 4x2 = 9 + 100
Combine like terms: -100 + 100 = 0
0 + 4x2 = 9 + 100
4x2 = 9 + 100
Combine like terms: 9 + 100 = 109
4x2 = 109
Divide each side by '4'.
x2 = 27.25
Simplifying
x2 = 27.25
Take the square root of each side:
x = {-5.220153254, 5.220153254}
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