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Simplifying
0.0695 = (1.5x)(0.5x)
Remove parenthesis around (1.5x)
0.0695 = 1.5x(0.5x)
Remove parenthesis around (0.5x)
0.0695 = 1.5x * 0.5x
Reorder the terms for easier multiplication:
0.0695 = 1.5 * 0.5x * x
Multiply 1.5 * 0.5
0.0695 = 0.75x * x
Multiply x * x
0.0695 = 0.75x2
Solving
0.0695 = 0.75x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.75x2' to each side of the equation.
0.0695 + -0.75x2 = 0.75x2 + -0.75x2
Combine like terms: 0.75x2 + -0.75x2 = 0.00
0.0695 + -0.75x2 = 0.00
Add '-0.0695' to each side of the equation.
0.0695 + -0.0695 + -0.75x2 = 0.00 + -0.0695
Combine like terms: 0.0695 + -0.0695 = 0.0000
0.0000 + -0.75x2 = 0.00 + -0.0695
-0.75x2 = 0.00 + -0.0695
Combine like terms: 0.00 + -0.0695 = -0.0695
-0.75x2 = -0.0695
Divide each side by '-0.75'.
x2 = 0.09266666667
Simplifying
x2 = 0.09266666667
Take the square root of each side:
x = {-0.304412002, 0.304412002}
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