x(x+5)(x+10)(x+15)=1500

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Solution for x(x+5)(x+10)(x+15)=1500 equation: 


Simplifying
x(x + 5)(x + 10)(x + 15) = 1500

Reorder the terms:
x(5 + x)(x + 10)(x + 15) = 1500

Reorder the terms:
x(5 + x)(10 + x)(x + 15) = 1500

Reorder the terms:
x(5 + x)(10 + x)(15 + x) = 1500

Multiply (5 + x) * (10 + x)
x(5(10 + x) + x(10 + x))(15 + x) = 1500
x((10 * 5 + x * 5) + x(10 + x))(15 + x) = 1500
x((50 + 5x) + x(10 + x))(15 + x) = 1500
x(50 + 5x + (10 * x + x * x))(15 + x) = 1500
x(50 + 5x + (10x + x2))(15 + x) = 1500

Combine like terms: 5x + 10x = 15x
x(50 + 15x + x2)(15 + x) = 1500

Multiply (50 + 15x + x2) * (15 + x)
x(50(15 + x) + 15x * (15 + x) + x2(15 + x)) = 1500
x((15 * 50 + x * 50) + 15x * (15 + x) + x2(15 + x)) = 1500
x((750 + 50x) + 15x * (15 + x) + x2(15 + x)) = 1500
x(750 + 50x + (15 * 15x + x * 15x) + x2(15 + x)) = 1500
x(750 + 50x + (225x + 15x2) + x2(15 + x)) = 1500
x(750 + 50x + 225x + 15x2 + (15 * x2 + x * x2)) = 1500
x(750 + 50x + 225x + 15x2 + (15x2 + x3)) = 1500

Combine like terms: 50x + 225x = 275x
x(750 + 275x + 15x2 + 15x2 + x3) = 1500

Combine like terms: 15x2 + 15x2 = 30x2
x(750 + 275x + 30x2 + x3) = 1500
(750 * x + 275x * x + 30x2 * x + x3 * x) = 1500
(750x + 275x2 + 30x3 + x4) = 1500

Solving
750x + 275x2 + 30x3 + x4 = 1500

Solving for variable 'x'.

Reorder the terms:
-1500 + 750x + 275x2 + 30x3 + x4 = 1500 + -1500

Combine like terms: 1500 + -1500 = 0
-1500 + 750x + 275x2 + 30x3 + x4 = 0

The solution to this equation could not be determined.

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