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Simplifying 3z(z + 2) = 3z * 3z + 6z + -1 Reorder the terms: 3z(2 + z) = 3z * 3z + 6z + -1 (2 * 3z + z * 3z) = 3z * 3z + 6z + -1 (6z + 3z2) = 3z * 3z + 6z + -1 Reorder the terms for easier multiplication: 6z + 3z2 = 3 * 3z * z + 6z + -1 Multiply 3 * 3 6z + 3z2 = 9z * z + 6z + -1 Multiply z * z 6z + 3z2 = 9z2 + 6z + -1 Reorder the terms: 6z + 3z2 = -1 + 6z + 9z2 Add '-6z' to each side of the equation. 6z + -6z + 3z2 = -1 + 6z + -6z + 9z2 Combine like terms: 6z + -6z = 0 0 + 3z2 = -1 + 6z + -6z + 9z2 3z2 = -1 + 6z + -6z + 9z2 Combine like terms: 6z + -6z = 0 3z2 = -1 + 0 + 9z2 3z2 = -1 + 9z2 Solving 3z2 = -1 + 9z2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z2' to each side of the equation. 3z2 + -9z2 = -1 + 9z2 + -9z2 Combine like terms: 3z2 + -9z2 = -6z2 -6z2 = -1 + 9z2 + -9z2 Combine like terms: 9z2 + -9z2 = 0 -6z2 = -1 + 0 -6z2 = -1 Divide each side by '-6'. z2 = 0.1666666667 Simplifying z2 = 0.1666666667 Take the square root of each side: z = {-0.408248291, 0.408248291}
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