-42z^2-14z=0

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Solution for -42z^2-14z=0 equation:


Simplifying
-42z2 + -14z = 0

Reorder the terms:
-14z + -42z2 = 0

Solving
-14z + -42z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '-14z'.
-14z(1 + 3z) = 0

Ignore the factor -14.

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 '(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

Solution

z = {0, -0.3333333333}

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