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Simplifying (5r + -4d)(5r + 3D) = 0 Reorder the terms: (-4d + 5r)(5r + 3D) = 0 Reorder the terms: (-4d + 5r)(3D + 5r) = 0 Multiply (-4d + 5r) * (3D + 5r) (-4d * (3D + 5r) + 5r * (3D + 5r)) = 0 ((3D * -4d + 5r * -4d) + 5r * (3D + 5r)) = 0 ((-12dD + -20dr) + 5r * (3D + 5r)) = 0 (-12dD + -20dr + (3D * 5r + 5r * 5r)) = 0 (-12dD + -20dr + (15rD + 25r2)) = 0 (-12dD + -20dr + 15rD + 25r2) = 0 Solving -12dD + -20dr + 15rD + 25r2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15rD' to each side of the equation. -12dD + -20dr + 15rD + -15rD + 25r2 = 0 + -15rD Combine like terms: 15rD + -15rD = 0 -12dD + -20dr + 0 + 25r2 = 0 + -15rD -12dD + -20dr + 25r2 = 0 + -15rD Remove the zero: -12dD + -20dr + 25r2 = -15rD Add '-25r2' to each side of the equation. -12dD + -20dr + 25r2 + -25r2 = -15rD + -25r2 Combine like terms: 25r2 + -25r2 = 0 -12dD + -20dr + 0 = -15rD + -25r2 -12dD + -20dr = -15rD + -25r2 Reorder the terms: -12dD + -20dr + 15rD + 25r2 = -15rD + 15rD + -25r2 + 25r2 Combine like terms: -15rD + 15rD = 0 -12dD + -20dr + 15rD + 25r2 = 0 + -25r2 + 25r2 -12dD + -20dr + 15rD + 25r2 = -25r2 + 25r2 Combine like terms: -25r2 + 25r2 = 0 -12dD + -20dr + 15rD + 25r2 = 0 The solution to this equation could not be determined.
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