7z=10z^2

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Solution for 7z=10z^2 equation:


Simplifying
7z = 10z2

Solving
7z = 10z2

Solving for variable 'z'.

Combine like terms: 10z2 + -10z2 = 0
7z + -10z2 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(7 + -10z) = 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 '(7 + -10z)' equal to zero and attempt to solve: Simplifying 7 + -10z = 0 Solving 7 + -10z = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -10z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10z = 0 + -7 -10z = 0 + -7 Combine like terms: 0 + -7 = -7 -10z = -7 Divide each side by '-10'. z = 0.7 Simplifying z = 0.7

Solution

z = {0, 0.7}

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