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Simplifying
48 * 64 = 12x * 16x
Multiply 48 * 64
3072 = 12x * 16x
Reorder the terms for easier multiplication:
3072 = 12 * 16x * x
Multiply 12 * 16
3072 = 192x * x
Multiply x * x
3072 = 192x2
Solving
3072 = 192x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-192x2' to each side of the equation.
3072 + -192x2 = 192x2 + -192x2
Combine like terms: 192x2 + -192x2 = 0
3072 + -192x2 = 0
Add '-3072' to each side of the equation.
3072 + -3072 + -192x2 = 0 + -3072
Combine like terms: 3072 + -3072 = 0
0 + -192x2 = 0 + -3072
-192x2 = 0 + -3072
Combine like terms: 0 + -3072 = -3072
-192x2 = -3072
Divide each side by '-192'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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