51z+70z^2-70=

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Solution for 51z+70z^2-70= equation:


Simplifying
51z + 70z2 + -70 = 0

Reorder the terms:
-70 + 51z + 70z2 = 0

Solving
-70 + 51z + 70z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-10 + -7z)(7 + -10z) = 0

Subproblem 1

Set the factor '(-10 + -7z)' equal to zero and attempt to solve: Simplifying -10 + -7z = 0 Solving -10 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -7z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -7z = 0 + 10 -7z = 0 + 10 Combine like terms: 0 + 10 = 10 -7z = 10 Divide each side by '-7'. z = -1.428571429 Simplifying z = -1.428571429

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 = {-1.428571429, 0.7}

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