(11z-5y)(3z+2y)=

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Solution for (11z-5y)(3z+2y)= equation:


Simplifying
(11z + -5y)(3z + 2y) = 0

Reorder the terms:
(-5y + 11z)(3z + 2y) = 0

Reorder the terms:
(-5y + 11z)(2y + 3z) = 0

Multiply (-5y + 11z) * (2y + 3z)
(-5y * (2y + 3z) + 11z * (2y + 3z)) = 0
((2y * -5y + 3z * -5y) + 11z * (2y + 3z)) = 0

Reorder the terms:
((-15yz + -10y2) + 11z * (2y + 3z)) = 0
((-15yz + -10y2) + 11z * (2y + 3z)) = 0
(-15yz + -10y2 + (2y * 11z + 3z * 11z)) = 0
(-15yz + -10y2 + (22yz + 33z2)) = 0

Reorder the terms:
(-15yz + 22yz + -10y2 + 33z2) = 0

Combine like terms: -15yz + 22yz = 7yz
(7yz + -10y2 + 33z2) = 0

Solving
7yz + -10y2 + 33z2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2y + -3z)(5y + -11z) = 0

Subproblem 1

Set the factor '(-2y + -3z)' equal to zero and attempt to solve: Simplifying -2y + -3z = 0 Solving -2y + -3z = 0 Move all terms containing y to the left, all other terms to the right. Add '3z' to each side of the equation. -2y + -3z + 3z = 0 + 3z Combine like terms: -3z + 3z = 0 -2y + 0 = 0 + 3z -2y = 0 + 3z Remove the zero: -2y = 3z Divide each side by '-2'. y = -1.5z Simplifying y = -1.5z

Subproblem 2

Set the factor '(5y + -11z)' equal to zero and attempt to solve: Simplifying 5y + -11z = 0 Solving 5y + -11z = 0 Move all terms containing y to the left, all other terms to the right. Add '11z' to each side of the equation. 5y + -11z + 11z = 0 + 11z Combine like terms: -11z + 11z = 0 5y + 0 = 0 + 11z 5y = 0 + 11z Remove the zero: 5y = 11z Divide each side by '5'. y = 2.2z Simplifying y = 2.2z

Solution

y = {-1.5z, 2.2z}

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