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Simplifying
192a2 + -147 = 0
Reorder the terms:
-147 + 192a2 = 0
Solving
-147 + 192a2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '147' to each side of the equation.
-147 + 147 + 192a2 = 0 + 147
Combine like terms: -147 + 147 = 0
0 + 192a2 = 0 + 147
192a2 = 0 + 147
Combine like terms: 0 + 147 = 147
192a2 = 147
Divide each side by '192'.
a2 = 0.765625
Simplifying
a2 = 0.765625
Take the square root of each side:
a = {-0.875, 0.875}
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