(11q+5)(q-7)=0

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Solution for (11q+5)(q-7)=0 equation: 


Simplifying
(11q + 5)(q + -7) = 0

Reorder the terms:
(5 + 11q)(q + -7) = 0

Reorder the terms:
(5 + 11q)(-7 + q) = 0

Multiply (5 + 11q) * (-7 + q)
(5(-7 + q) + 11q * (-7 + q)) = 0
((-7 * 5 + q * 5) + 11q * (-7 + q)) = 0
((-35 + 5q) + 11q * (-7 + q)) = 0
(-35 + 5q + (-7 * 11q + q * 11q)) = 0
(-35 + 5q + (-77q + 11q2)) = 0

Combine like terms: 5q + -77q = -72q
(-35 + -72q + 11q2) = 0

Solving
-35 + -72q + 11q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-5 + -11q)(7 + -1q) = 0


Subproblem 1
Set the factor '(-5 + -11q)' equal to zero and attempt to solve:

Simplifying
-5 + -11q = 0

Solving
-5 + -11q = 0

Move all terms containing q to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -11q = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -11q = 0 + 5
-11q = 0 + 5

Combine like terms: 0 + 5 = 5
-11q = 5

Divide each side by '-11'.
q = -0.4545454545

Simplifying
q = -0.4545454545

Subproblem 2
Set the factor '(7 + -1q)' equal to zero and attempt to solve:

Simplifying
7 + -1q = 0

Solving
7 + -1q = 0

Move all terms containing q to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1q = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1q = 0 + -7
-1q = 0 + -7

Combine like terms: 0 + -7 = -7
-1q = -7

Divide each side by '-1'.
q = 7

Simplifying
q = 7
Solution
q = {-0.4545454545, 7}

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