5z^2+43z-70=0

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Solution for 5z^2+43z-70=0 equation: 


Simplifying
5z2 + 43z + -70 = 0

Reorder the terms:
-70 + 43z + 5z2 = 0

Solving
-70 + 43z + 5z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-10 + -1z)(7 + -5z) = 0


Subproblem 1
Set the factor '(-10 + -1z)' equal to zero and attempt to solve:

Simplifying
-10 + -1z = 0

Solving
-10 + -1z = 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 + -1z = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1z = 0 + 10
-1z = 0 + 10

Combine like terms: 0 + 10 = 10
-1z = 10

Divide each side by '-1'.
z = -10

Simplifying
z = -10

Subproblem 2
Set the factor '(7 + -5z)' equal to zero and attempt to solve:

Simplifying
7 + -5z = 0

Solving
7 + -5z = 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 + -5z = 0 + -7

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

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

Divide each side by '-5'.
z = 1.4

Simplifying
z = 1.4
Solution
z = {-10, 1.4}

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