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Simplifying 5c(2x + 3) + -3x(-4 + -2x) = 0 Reorder the terms: 5c(3 + 2x) + -3x(-4 + -2x) = 0 (3 * 5c + 2x * 5c) + -3x(-4 + -2x) = 0 (15c + 10cx) + -3x(-4 + -2x) = 0 15c + 10cx + (-4 * -3x + -2x * -3x) = 0 15c + 10cx + (12x + 6x2) = 0 Solving 15c + 10cx + 12x + 6x2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12x' to each side of the equation. 15c + 10cx + 12x + -12x + 6x2 = 0 + -12x Combine like terms: 12x + -12x = 0 15c + 10cx + 0 + 6x2 = 0 + -12x 15c + 10cx + 6x2 = 0 + -12x Remove the zero: 15c + 10cx + 6x2 = -12x Add '-6x2' to each side of the equation. 15c + 10cx + 6x2 + -6x2 = -12x + -6x2 Combine like terms: 6x2 + -6x2 = 0 15c + 10cx + 0 = -12x + -6x2 15c + 10cx = -12x + -6x2 Reorder the terms: 15c + 10cx + 12x + 6x2 = -12x + 12x + -6x2 + 6x2 Combine like terms: -12x + 12x = 0 15c + 10cx + 12x + 6x2 = 0 + -6x2 + 6x2 15c + 10cx + 12x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 15c + 10cx + 12x + 6x2 = 0 The solution to this equation could not be determined.
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