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Simplifying (3z + -8)(z + 2) = 3z2 + 10 Reorder the terms: (-8 + 3z)(z + 2) = 3z2 + 10 Reorder the terms: (-8 + 3z)(2 + z) = 3z2 + 10 Multiply (-8 + 3z) * (2 + z) (-8(2 + z) + 3z * (2 + z)) = 3z2 + 10 ((2 * -8 + z * -8) + 3z * (2 + z)) = 3z2 + 10 ((-16 + -8z) + 3z * (2 + z)) = 3z2 + 10 (-16 + -8z + (2 * 3z + z * 3z)) = 3z2 + 10 (-16 + -8z + (6z + 3z2)) = 3z2 + 10 Combine like terms: -8z + 6z = -2z (-16 + -2z + 3z2) = 3z2 + 10 Reorder the terms: -16 + -2z + 3z2 = 10 + 3z2 Add '-3z2' to each side of the equation. -16 + -2z + 3z2 + -3z2 = 10 + 3z2 + -3z2 Combine like terms: 3z2 + -3z2 = 0 -16 + -2z + 0 = 10 + 3z2 + -3z2 -16 + -2z = 10 + 3z2 + -3z2 Combine like terms: 3z2 + -3z2 = 0 -16 + -2z = 10 + 0 -16 + -2z = 10 Solving -16 + -2z = 10 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -2z = 10 + 16 Combine like terms: -16 + 16 = 0 0 + -2z = 10 + 16 -2z = 10 + 16 Combine like terms: 10 + 16 = 26 -2z = 26 Divide each side by '-2'. z = -13 Simplifying z = -13
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