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Simplifying (c + -3y)(2x + -5y) = 0 Multiply (c + -3y) * (2x + -5y) (c(2x + -5y) + -3y * (2x + -5y)) = 0 ((2x * c + -5y * c) + -3y * (2x + -5y)) = 0 ((2cx + -5cy) + -3y * (2x + -5y)) = 0 (2cx + -5cy + (2x * -3y + -5y * -3y)) = 0 (2cx + -5cy + (-6xy + 15y2)) = 0 (2cx + -5cy + -6xy + 15y2) = 0 Solving 2cx + -5cy + -6xy + 15y2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6xy' to each side of the equation. 2cx + -5cy + -6xy + 6xy + 15y2 = 0 + 6xy Combine like terms: -6xy + 6xy = 0 2cx + -5cy + 0 + 15y2 = 0 + 6xy 2cx + -5cy + 15y2 = 0 + 6xy Remove the zero: 2cx + -5cy + 15y2 = 6xy Add '-15y2' to each side of the equation. 2cx + -5cy + 15y2 + -15y2 = 6xy + -15y2 Combine like terms: 15y2 + -15y2 = 0 2cx + -5cy + 0 = 6xy + -15y2 2cx + -5cy = 6xy + -15y2 Reorder the terms: 2cx + -5cy + -6xy + 15y2 = 6xy + -6xy + -15y2 + 15y2 Combine like terms: 6xy + -6xy = 0 2cx + -5cy + -6xy + 15y2 = 0 + -15y2 + 15y2 2cx + -5cy + -6xy + 15y2 = -15y2 + 15y2 Combine like terms: -15y2 + 15y2 = 0 2cx + -5cy + -6xy + 15y2 = 0 The solution to this equation could not be determined.
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