21z^2-5z-4=0

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Solution for 21z^2-5z-4=0 equation:


Simplifying
21z2 + -5z + -4 = 0

Reorder the terms:
-4 + -5z + 21z2 = 0

Solving
-4 + -5z + 21z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-1 + -3z)(4 + -7z) = 0

Subproblem 1

Set the factor '(-1 + -3z)' equal to zero and attempt to solve: Simplifying -1 + -3z = 0 Solving -1 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3z = 0 + 1 -3z = 0 + 1 Combine like terms: 0 + 1 = 1 -3z = 1 Divide each side by '-3'. z = -0.3333333333 Simplifying z = -0.3333333333

Subproblem 2

Set the factor '(4 + -7z)' equal to zero and attempt to solve: Simplifying 4 + -7z = 0 Solving 4 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7z = 0 + -4 -7z = 0 + -4 Combine like terms: 0 + -4 = -4 -7z = -4 Divide each side by '-7'. z = 0.5714285714 Simplifying z = 0.5714285714

Solution

z = {-0.3333333333, 0.5714285714}

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