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Simplifying 20000(799920 + p) = 100000x(p + -20) (799920 * 20000 + p * 20000) = 100000x(p + -20) (15998400000 + 20000p) = 100000x(p + -20) Reorder the terms: 15998400000 + 20000p = 100000x(-20 + p) 15998400000 + 20000p = (-20 * 100000x + p * 100000x) Reorder the terms: 15998400000 + 20000p = (100000px + -2000000x) 15998400000 + 20000p = (100000px + -2000000x) Solving 15998400000 + 20000p = 100000px + -2000000x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-100000px' to each side of the equation. 15998400000 + 20000p + -100000px = 100000px + -100000px + -2000000x Combine like terms: 100000px + -100000px = 0 15998400000 + 20000p + -100000px = 0 + -2000000x 15998400000 + 20000p + -100000px = -2000000x Add '-15998400000' to each side of the equation. 15998400000 + 20000p + -15998400000 + -100000px = -15998400000 + -2000000x Reorder the terms: 15998400000 + -15998400000 + 20000p + -100000px = -15998400000 + -2000000x Combine like terms: 15998400000 + -15998400000 = 0 0 + 20000p + -100000px = -15998400000 + -2000000x 20000p + -100000px = -15998400000 + -2000000x Reorder the terms: 15998400000 + 20000p + -100000px + 2000000x = -15998400000 + -2000000x + 15998400000 + 2000000x Reorder the terms: 15998400000 + 20000p + -100000px + 2000000x = -15998400000 + 15998400000 + -2000000x + 2000000x Combine like terms: -15998400000 + 15998400000 = 0 15998400000 + 20000p + -100000px + 2000000x = 0 + -2000000x + 2000000x 15998400000 + 20000p + -100000px + 2000000x = -2000000x + 2000000x Combine like terms: -2000000x + 2000000x = 0 15998400000 + 20000p + -100000px + 2000000x = 0 Factor out the Greatest Common Factor (GCF), '20000'. 20000(799920 + p + -5px + 100x) = 0 Ignore the factor 20000.Subproblem 1
Set the factor '(799920 + p + -5px + 100x)' equal to zero and attempt to solve: Simplifying 799920 + p + -5px + 100x = 0 Solving 799920 + p + -5px + 100x = 0 Move all terms containing p to the left, all other terms to the right. Add '-799920' to each side of the equation. 799920 + p + -5px + -799920 + 100x = 0 + -799920 Reorder the terms: 799920 + -799920 + p + -5px + 100x = 0 + -799920 Combine like terms: 799920 + -799920 = 0 0 + p + -5px + 100x = 0 + -799920 p + -5px + 100x = 0 + -799920 Combine like terms: 0 + -799920 = -799920 p + -5px + 100x = -799920 Add '-100x' to each side of the equation. p + -5px + 100x + -100x = -799920 + -100x Combine like terms: 100x + -100x = 0 p + -5px + 0 = -799920 + -100x p + -5px = -799920 + -100x 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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