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Simplifying
4x2 + -100 = 49
Reorder the terms:
-100 + 4x2 = 49
Solving
-100 + 4x2 = 49
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 = 49 + 100
Combine like terms: -100 + 100 = 0
0 + 4x2 = 49 + 100
4x2 = 49 + 100
Combine like terms: 49 + 100 = 149
4x2 = 149
Divide each side by '4'.
x2 = 37.25
Simplifying
x2 = 37.25
Take the square root of each side:
x = {-6.103277808, 6.103277808}
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