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Simplifying
455 = 180(3x) * 1.5x
Remove parenthesis around (3x)
455 = 180 * 3x * 1.5x
Reorder the terms for easier multiplication:
455 = 180 * 3 * 1.5x * x
Multiply 180 * 3
455 = 540 * 1.5x * x
Multiply 540 * 1.5
455 = 810x * x
Multiply x * x
455 = 810x2
Solving
455 = 810x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-810x2' to each side of the equation.
455 + -810x2 = 810x2 + -810x2
Combine like terms: 810x2 + -810x2 = 0
455 + -810x2 = 0
Add '-455' to each side of the equation.
455 + -455 + -810x2 = 0 + -455
Combine like terms: 455 + -455 = 0
0 + -810x2 = 0 + -455
-810x2 = 0 + -455
Combine like terms: 0 + -455 = -455
-810x2 = -455
Divide each side by '-810'.
x2 = 0.5617283951
Simplifying
x2 = 0.5617283951
Take the square root of each side:
x = {-0.74948542, 0.74948542}
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