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Simplifying 5(0.25 + -0.3z) * 2z = 1.32 Reorder the terms for easier multiplication: 5 * 2z(0.25 + -0.3z) = 1.32 Multiply 5 * 2 10z(0.25 + -0.3z) = 1.32 (0.25 * 10z + -0.3z * 10z) = 1.32 (2.5z + -3z2) = 1.32 Solving 2.5z + -3z2 = 1.32 Solving for variable 'z'. Reorder the terms: -1.32 + 2.5z + -3z2 = 1.32 + -1.32 Combine like terms: 1.32 + -1.32 = 0.00 -1.32 + 2.5z + -3z2 = 0.00 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 0.44 + -0.8333333333z + z2 = 0.00 Move the constant term to the right: Add '-0.44' to each side of the equation. 0.44 + -0.8333333333z + -0.44 + z2 = 0.00 + -0.44 Reorder the terms: 0.44 + -0.44 + -0.8333333333z + z2 = 0.00 + -0.44 Combine like terms: 0.44 + -0.44 = 0.00 0.00 + -0.8333333333z + z2 = 0.00 + -0.44 -0.8333333333z + z2 = 0.00 + -0.44 Combine like terms: 0.00 + -0.44 = -0.44 -0.8333333333z + z2 = -0.44 The z term is -0.8333333333z. Take half its coefficient (-0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. -0.8333333333z + 0.1736111111 + z2 = -0.44 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333z + z2 = -0.44 + 0.1736111111 Combine like terms: -0.44 + 0.1736111111 = -0.2663888889 0.1736111111 + -0.8333333333z + z2 = -0.2663888889 Factor a perfect square on the left side: (z + -0.4166666667)(z + -0.4166666667) = -0.2663888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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