=16z^2-40z+25

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Solution for =16z^2-40z+25 equation:


Simplifying
0 = 16z2 + -40z + 25

Reorder the terms:
0 = 25 + -40z + 16z2

Solving
0 = 25 + -40z + 16z2

Solving for variable 'z'.

Combine like terms: 0 + -25 = -25
-25 + 40z + -16z2 = 25 + -40z + 16z2 + -25 + 40z + -16z2

Reorder the terms:
-25 + 40z + -16z2 = 25 + -25 + -40z + 40z + 16z2 + -16z2

Combine like terms: 25 + -25 = 0
-25 + 40z + -16z2 = 0 + -40z + 40z + 16z2 + -16z2
-25 + 40z + -16z2 = -40z + 40z + 16z2 + -16z2

Combine like terms: -40z + 40z = 0
-25 + 40z + -16z2 = 0 + 16z2 + -16z2
-25 + 40z + -16z2 = 16z2 + -16z2

Combine like terms: 16z2 + -16z2 = 0
-25 + 40z + -16z2 = 0

Factor a trinomial.
(-5 + 4z)(5 + -4z) = 0

Subproblem 1

Set the factor '(-5 + 4z)' equal to zero and attempt to solve: Simplifying -5 + 4z = 0 Solving -5 + 4z = 0 Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4z = 0 + 5 4z = 0 + 5 Combine like terms: 0 + 5 = 5 4z = 5 Divide each side by '4'. z = 1.25 Simplifying z = 1.25

Subproblem 2

Set the factor '(5 + -4z)' equal to zero and attempt to solve: Simplifying 5 + -4z = 0 Solving 5 + -4z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4z = 0 + -5 -4z = 0 + -5 Combine like terms: 0 + -5 = -5 -4z = -5 Divide each side by '-4'. z = 1.25 Simplifying z = 1.25

Solution

z = {1.25, 1.25}

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