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Simplifying (3y + -5c)(3 + -4y) = 0 Reorder the terms: (-5c + 3y)(3 + -4y) = 0 Multiply (-5c + 3y) * (3 + -4y) (-5c * (3 + -4y) + 3y * (3 + -4y)) = 0 ((3 * -5c + -4y * -5c) + 3y * (3 + -4y)) = 0 ((-15c + 20cy) + 3y * (3 + -4y)) = 0 (-15c + 20cy + (3 * 3y + -4y * 3y)) = 0 (-15c + 20cy + (9y + -12y2)) = 0 (-15c + 20cy + 9y + -12y2) = 0 Solving -15c + 20cy + 9y + -12y2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9y' to each side of the equation. -15c + 20cy + 9y + -9y + -12y2 = 0 + -9y Combine like terms: 9y + -9y = 0 -15c + 20cy + 0 + -12y2 = 0 + -9y -15c + 20cy + -12y2 = 0 + -9y Remove the zero: -15c + 20cy + -12y2 = -9y Add '12y2' to each side of the equation. -15c + 20cy + -12y2 + 12y2 = -9y + 12y2 Combine like terms: -12y2 + 12y2 = 0 -15c + 20cy + 0 = -9y + 12y2 -15c + 20cy = -9y + 12y2 Reorder the terms: -15c + 20cy + 9y + -12y2 = -9y + 9y + 12y2 + -12y2 Combine like terms: -9y + 9y = 0 -15c + 20cy + 9y + -12y2 = 0 + 12y2 + -12y2 -15c + 20cy + 9y + -12y2 = 12y2 + -12y2 Combine like terms: 12y2 + -12y2 = 0 -15c + 20cy + 9y + -12y2 = 0 The solution to this equation could not be determined.
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