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Simplifying 4z2 + -12z + -40i = 0 Reorder the terms: -40i + -12z + 4z2 = 0 Solving -40i + -12z + 4z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '12z' to each side of the equation. -40i + -12z + 12z + 4z2 = 0 + 12z Combine like terms: -12z + 12z = 0 -40i + 0 + 4z2 = 0 + 12z -40i + 4z2 = 0 + 12z Remove the zero: -40i + 4z2 = 12z Add '-4z2' to each side of the equation. -40i + 4z2 + -4z2 = 12z + -4z2 Combine like terms: 4z2 + -4z2 = 0 -40i + 0 = 12z + -4z2 -40i = 12z + -4z2 Divide each side by '-40'. i = -0.3z + 0.1z2 Simplifying i = -0.3z + 0.1z2
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