9x(2c+5)+3c=-75

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Solution for 9x(2c+5)+3c=-75 equation:


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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