5z(z+2)=7z

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Solution for 5z(z+2)=7z equation:


Simplifying
5z(z + 2) = 7z

Reorder the terms:
5z(2 + z) = 7z
(2 * 5z + z * 5z) = 7z
(10z + 5z2) = 7z

Solving
10z + 5z2 = 7z

Solving for variable 'z'.

Reorder the terms:
10z + -7z + 5z2 = 7z + -7z

Combine like terms: 10z + -7z = 3z
3z + 5z2 = 7z + -7z

Combine like terms: 7z + -7z = 0
3z + 5z2 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(3 + 5z) = 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 '(3 + 5z)' equal to zero and attempt to solve: Simplifying 3 + 5z = 0 Solving 3 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5z = 0 + -3 5z = 0 + -3 Combine like terms: 0 + -3 = -3 5z = -3 Divide each side by '5'. z = -0.6 Simplifying z = -0.6

Solution

z = {0, -0.6}

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