50z^2+5z-36=

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Solution for 50z^2+5z-36= equation:


Simplifying
50z2 + 5z + -36 = 0

Reorder the terms:
-36 + 5z + 50z2 = 0

Solving
-36 + 5z + 50z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-9 + -10z)(4 + -5z) = 0

Subproblem 1

Set the factor '(-9 + -10z)' equal to zero and attempt to solve: Simplifying -9 + -10z = 0 Solving -9 + -10z = 0 Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -10z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -10z = 0 + 9 -10z = 0 + 9 Combine like terms: 0 + 9 = 9 -10z = 9 Divide each side by '-10'. z = -0.9 Simplifying z = -0.9

Subproblem 2

Set the factor '(4 + -5z)' equal to zero and attempt to solve: Simplifying 4 + -5z = 0 Solving 4 + -5z = 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 + -5z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5z = 0 + -4 -5z = 0 + -4 Combine like terms: 0 + -4 = -4 -5z = -4 Divide each side by '-5'. z = 0.8 Simplifying z = 0.8

Solution

z = {-0.9, 0.8}

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