5(0.25+-0.3z)2z=1.32

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Solution for 5(0.25+-0.3z)2z=1.32 equation:


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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