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Simplifying (2z + -3r)(3 + z) = 0 Reorder the terms: (-3r + 2z)(3 + z) = 0 Multiply (-3r + 2z) * (3 + z) (-3r * (3 + z) + 2z * (3 + z)) = 0 ((3 * -3r + z * -3r) + 2z * (3 + z)) = 0 ((-9r + -3rz) + 2z * (3 + z)) = 0 (-9r + -3rz + (3 * 2z + z * 2z)) = 0 (-9r + -3rz + (6z + 2z2)) = 0 (-9r + -3rz + 6z + 2z2) = 0 Solving -9r + -3rz + 6z + 2z2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6z' to each side of the equation. -9r + -3rz + 6z + -6z + 2z2 = 0 + -6z Combine like terms: 6z + -6z = 0 -9r + -3rz + 0 + 2z2 = 0 + -6z -9r + -3rz + 2z2 = 0 + -6z Remove the zero: -9r + -3rz + 2z2 = -6z Add '-2z2' to each side of the equation. -9r + -3rz + 2z2 + -2z2 = -6z + -2z2 Combine like terms: 2z2 + -2z2 = 0 -9r + -3rz + 0 = -6z + -2z2 -9r + -3rz = -6z + -2z2 Reorder the terms: -9r + -3rz + 6z + 2z2 = -6z + 6z + -2z2 + 2z2 Combine like terms: -6z + 6z = 0 -9r + -3rz + 6z + 2z2 = 0 + -2z2 + 2z2 -9r + -3rz + 6z + 2z2 = -2z2 + 2z2 Combine like terms: -2z2 + 2z2 = 0 -9r + -3rz + 6z + 2z2 = 0 The solution to this equation could not be determined.
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