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Simplifying (C + 5)(3x + -2)(23x) = 0 Reorder the terms: (5 + C)(3x + -2)(23x) = 0 Reorder the terms: (5 + C)(-2 + 3x)(23x) = 0 Remove parenthesis around (23x) (5 + C)(-2 + 3x) * 23x = 0 Reorder the terms for easier multiplication: 23x(5 + C)(-2 + 3x) = 0 Multiply (5 + C) * (-2 + 3x) 23x(5(-2 + 3x) + C(-2 + 3x)) = 0 23x((-2 * 5 + 3x * 5) + C(-2 + 3x)) = 0 23x((-10 + 15x) + C(-2 + 3x)) = 0 23x(-10 + 15x + (-2 * C + 3x * C)) = 0 23x(-10 + 15x + (-2C + 3xC)) = 0 Reorder the terms: 23x(-10 + -2C + 15x + 3xC) = 0 23x(-10 + -2C + 15x + 3xC) = 0 (-10 * 23x + -2C * 23x + 15x * 23x + 3xC * 23x) = 0 (-230x + -46xC + 345x2 + 69x2C) = 0 Solving -230x + -46xC + 345x2 + 69x2C = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '23x'. 23x(-10 + -2C + 15x + 3xC) = 0 Ignore the factor 23.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-10 + -2C + 15x + 3xC)' equal to zero and attempt to solve: Simplifying -10 + -2C + 15x + 3xC = 0 Solving -10 + -2C + 15x + 3xC = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -2C + 15x + 10 + 3xC = 0 + 10 Reorder the terms: -10 + 10 + -2C + 15x + 3xC = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2C + 15x + 3xC = 0 + 10 -2C + 15x + 3xC = 0 + 10 Combine like terms: 0 + 10 = 10 -2C + 15x + 3xC = 10 Add '2C' to each side of the equation. -2C + 15x + 2C + 3xC = 10 + 2C Reorder the terms: -2C + 2C + 15x + 3xC = 10 + 2C Combine like terms: -2C + 2C = 0 0 + 15x + 3xC = 10 + 2C 15x + 3xC = 10 + 2C The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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