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Simplifying
16x2 + 0x + -49 = 0
Anything times zero is zero.
16x2 + 0x + -49 = 0
Reorder the terms:
0 + -49 + 16x2 = 0
Combine like terms: 0 + -49 = -49
-49 + 16x2 = 0
Solving
-49 + 16x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 16x2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 16x2 = 0 + 49
16x2 = 0 + 49
Combine like terms: 0 + 49 = 49
16x2 = 49
Divide each side by '16'.
x2 = 3.0625
Simplifying
x2 = 3.0625
Take the square root of each side:
x = {-1.75, 1.75}
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