7z^2+38z+15z=0

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Solution for 7z^2+38z+15z=0 equation:


Simplifying
7z2 + 38z + 15z = 0

Reorder the terms:
38z + 15z + 7z2 = 0

Combine like terms: 38z + 15z = 53z
53z + 7z2 = 0

Solving
53z + 7z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(53 + 7z) = 0

Subproblem 1

Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0

Subproblem 2

Set the factor '(53 + 7z)' equal to zero and attempt to solve: Simplifying 53 + 7z = 0 Solving 53 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 7z = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 7z = 0 + -53 7z = 0 + -53 Combine like terms: 0 + -53 = -53 7z = -53 Divide each side by '7'. z = -7.571428571 Simplifying z = -7.571428571

Solution

z = {0, -7.571428571}

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