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Simplifying
96 = (2x)(4x)
Remove parenthesis around (2x)
96 = 2x(4x)
Remove parenthesis around (4x)
96 = 2x * 4x
Reorder the terms for easier multiplication:
96 = 2 * 4x * x
Multiply 2 * 4
96 = 8x * x
Multiply x * x
96 = 8x2
Solving
96 = 8x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x2' to each side of the equation.
96 + -8x2 = 8x2 + -8x2
Combine like terms: 8x2 + -8x2 = 0
96 + -8x2 = 0
Add '-96' to each side of the equation.
96 + -96 + -8x2 = 0 + -96
Combine like terms: 96 + -96 = 0
0 + -8x2 = 0 + -96
-8x2 = 0 + -96
Combine like terms: 0 + -96 = -96
-8x2 = -96
Divide each side by '-8'.
x2 = 12
Simplifying
x2 = 12
Take the square root of each side:
x = {-3.464101615, 3.464101615}
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