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Simplifying z2 = (z + -4)(z + 5) Reorder the terms: z2 = (-4 + z)(z + 5) Reorder the terms: z2 = (-4 + z)(5 + z) Multiply (-4 + z) * (5 + z) z2 = (-4(5 + z) + z(5 + z)) z2 = ((5 * -4 + z * -4) + z(5 + z)) z2 = ((-20 + -4z) + z(5 + z)) z2 = (-20 + -4z + (5 * z + z * z)) z2 = (-20 + -4z + (5z + z2)) Combine like terms: -4z + 5z = 1z z2 = (-20 + 1z + z2) Add '-1z2' to each side of the equation. z2 + -1z2 = -20 + 1z + z2 + -1z2 Combine like terms: z2 + -1z2 = 0 0 = -20 + 1z + z2 + -1z2 Combine like terms: z2 + -1z2 = 0 0 = -20 + 1z + 0 0 = -20 + 1z Solving 0 = -20 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 0 + -1z = -20 + 1z + -1z Remove the zero: -1z = -20 + 1z + -1z Combine like terms: 1z + -1z = 0 -1z = -20 + 0 -1z = -20 Divide each side by '-1'. z = 20 Simplifying z = 20
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