(550+25x)x(96-3x)=54600

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Solution for (550+25x)x(96-3x)=54600 equation:


Simplifying
(550 + 25x) * x(96 + -3x) = 54600

Reorder the terms for easier multiplication:
x(550 + 25x)(96 + -3x) = 54600

Multiply (550 + 25x) * (96 + -3x)
x(550(96 + -3x) + 25x * (96 + -3x)) = 54600
x((96 * 550 + -3x * 550) + 25x * (96 + -3x)) = 54600
x((52800 + -1650x) + 25x * (96 + -3x)) = 54600
x(52800 + -1650x + (96 * 25x + -3x * 25x)) = 54600
x(52800 + -1650x + (2400x + -75x2)) = 54600

Combine like terms: -1650x + 2400x = 750x
x(52800 + 750x + -75x2) = 54600
(52800 * x + 750x * x + -75x2 * x) = 54600
(52800x + 750x2 + -75x3) = 54600

Solving
52800x + 750x2 + -75x3 = 54600

Solving for variable 'x'.

Reorder the terms:
-54600 + 52800x + 750x2 + -75x3 = 54600 + -54600

Combine like terms: 54600 + -54600 = 0
-54600 + 52800x + 750x2 + -75x3 = 0

Factor out the Greatest Common Factor (GCF), '75'.
75(-728 + 704x + 10x2 + -1x3) = 0

Ignore the factor 75.

Subproblem 1

Set the factor '(-728 + 704x + 10x2 + -1x3)' equal to zero and attempt to solve: Simplifying -728 + 704x + 10x2 + -1x3 = 0 Solving -728 + 704x + 10x2 + -1x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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