7+46z=21z^2

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Solution for 7+46z=21z^2 equation:


Simplifying
7 + 46z = 21z2

Solving
7 + 46z = 21z2

Solving for variable 'z'.

Combine like terms: 21z2 + -21z2 = 0
7 + 46z + -21z2 = 0

Factor a trinomial.
(7 + -3z)(1 + 7z) = 0

Subproblem 1

Set the factor '(7 + -3z)' equal to zero and attempt to solve: Simplifying 7 + -3z = 0 Solving 7 + -3z = 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 + -3z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3z = 0 + -7 -3z = 0 + -7 Combine like terms: 0 + -7 = -7 -3z = -7 Divide each side by '-3'. z = 2.333333333 Simplifying z = 2.333333333

Subproblem 2

Set the factor '(1 + 7z)' equal to zero and attempt to solve: Simplifying 1 + 7z = 0 Solving 1 + 7z = 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 + 7z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7z = 0 + -1 7z = 0 + -1 Combine like terms: 0 + -1 = -1 7z = -1 Divide each side by '7'. z = -0.1428571429 Simplifying z = -0.1428571429

Solution

z = {2.333333333, -0.1428571429}

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