5z^2+30z+25=0

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Solution for 5z^2+30z+25=0 equation:


Simplifying
5z2 + 30z + 25 = 0

Reorder the terms:
25 + 30z + 5z2 = 0

Solving
25 + 30z + 5z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '5'.
5(5 + 6z + z2) = 0

Factor a trinomial.
5((5 + z)(1 + z)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(5 + z)' equal to zero and attempt to solve: Simplifying 5 + z = 0 Solving 5 + z = 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 + z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + z = 0 + -5 z = 0 + -5 Combine like terms: 0 + -5 = -5 z = -5 Simplifying z = -5

Subproblem 2

Set the factor '(1 + z)' equal to zero and attempt to solve: Simplifying 1 + z = 0 Solving 1 + z = 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 + z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + z = 0 + -1 z = 0 + -1 Combine like terms: 0 + -1 = -1 z = -1 Simplifying z = -1

Solution

z = {-5, -1}

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