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Simplifying 9x(2c + 5) + 3c = -75 Reorder the terms: 9x(5 + 2c) + 3c = -75 (5 * 9x + 2c * 9x) + 3c = -75 Reorder the terms: (18cx + 45x) + 3c = -75 (18cx + 45x) + 3c = -75 Reorder the terms: 3c + 18cx + 45x = -75 Solving 3c + 18cx + 45x = -75 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-45x' to each side of the equation. 3c + 18cx + 45x + -45x = -75 + -45x Combine like terms: 45x + -45x = 0 3c + 18cx + 0 = -75 + -45x 3c + 18cx = -75 + -45x Reorder the terms: 75 + 3c + 18cx + 45x = -75 + -45x + 75 + 45x Reorder the terms: 75 + 3c + 18cx + 45x = -75 + 75 + -45x + 45x Combine like terms: -75 + 75 = 0 75 + 3c + 18cx + 45x = 0 + -45x + 45x 75 + 3c + 18cx + 45x = -45x + 45x Combine like terms: -45x + 45x = 0 75 + 3c + 18cx + 45x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(25 + c + 6cx + 15x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(25 + c + 6cx + 15x)' equal to zero and attempt to solve: Simplifying 25 + c + 6cx + 15x = 0 Solving 25 + c + 6cx + 15x = 0 Move all terms containing c to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + c + 6cx + -25 + 15x = 0 + -25 Reorder the terms: 25 + -25 + c + 6cx + 15x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + c + 6cx + 15x = 0 + -25 c + 6cx + 15x = 0 + -25 Combine like terms: 0 + -25 = -25 c + 6cx + 15x = -25 Add '-15x' to each side of the equation. c + 6cx + 15x + -15x = -25 + -15x Combine like terms: 15x + -15x = 0 c + 6cx + 0 = -25 + -15x c + 6cx = -25 + -15x 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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