5z(2z+7)(z-1)=

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Solution for 5z(2z+7)(z-1)= equation: 


Simplifying
5z(2z + 7)(z + -1) = 0

Reorder the terms:
5z(7 + 2z)(z + -1) = 0

Reorder the terms:
5z(7 + 2z)(-1 + z) = 0

Multiply (7 + 2z) * (-1 + z)
5z(7(-1 + z) + 2z * (-1 + z)) = 0
5z((-1 * 7 + z * 7) + 2z * (-1 + z)) = 0
5z((-7 + 7z) + 2z * (-1 + z)) = 0
5z(-7 + 7z + (-1 * 2z + z * 2z)) = 0
5z(-7 + 7z + (-2z + 2z2)) = 0

Combine like terms: 7z + -2z = 5z
5z(-7 + 5z + 2z2) = 0
(-7 * 5z + 5z * 5z + 2z2 * 5z) = 0
(-35z + 25z2 + 10z3) = 0

Solving
-35z + 25z2 + 10z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '5z'.
5z(-7 + 5z + 2z2) = 0

Factor a trinomial.
5z((-7 + -2z)(1 + -1z)) = 0

Ignore the factor 5.

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 + -2z)' equal to zero and attempt to solve:

Simplifying
-7 + -2z = 0

Solving
-7 + -2z = 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 + -2z = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2z = 0 + 7
-2z = 0 + 7

Combine like terms: 0 + 7 = 7
-2z = 7

Divide each side by '-2'.
z = -3.5

Simplifying
z = -3.5

Subproblem 3
Set the factor '(1 + -1z)' equal to zero and attempt to solve:

Simplifying
1 + -1z = 0

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

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

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

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

Simplifying
z = 1
Solution
z = {0, -3.5, 1}

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