(6u+7)(-9u-2)=0

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Solution for (6u+7)(-9u-2)=0 equation: 


Simplifying
(6u + 7)(-9u + -2) = 0

Reorder the terms:
(7 + 6u)(-9u + -2) = 0

Reorder the terms:
(7 + 6u)(-2 + -9u) = 0

Multiply (7 + 6u) * (-2 + -9u)
(7(-2 + -9u) + 6u * (-2 + -9u)) = 0
((-2 * 7 + -9u * 7) + 6u * (-2 + -9u)) = 0
((-14 + -63u) + 6u * (-2 + -9u)) = 0
(-14 + -63u + (-2 * 6u + -9u * 6u)) = 0
(-14 + -63u + (-12u + -54u2)) = 0

Combine like terms: -63u + -12u = -75u
(-14 + -75u + -54u2) = 0

Solving
-14 + -75u + -54u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(14 + 75u + 54u2) = 0

Factor a trinomial.
-1((7 + 6u)(2 + 9u)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(7 + 6u)' equal to zero and attempt to solve:

Simplifying
7 + 6u = 0

Solving
7 + 6u = 0

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

Add '-7' to each side of the equation.
7 + -7 + 6u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6u = 0 + -7
6u = 0 + -7

Combine like terms: 0 + -7 = -7
6u = -7

Divide each side by '6'.
u = -1.166666667

Simplifying
u = -1.166666667

Subproblem 2
Set the factor '(2 + 9u)' equal to zero and attempt to solve:

Simplifying
2 + 9u = 0

Solving
2 + 9u = 0

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

Add '-2' to each side of the equation.
2 + -2 + 9u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9u = 0 + -2
9u = 0 + -2

Combine like terms: 0 + -2 = -2
9u = -2

Divide each side by '9'.
u = -0.2222222222

Simplifying
u = -0.2222222222
Solution
u = {-1.166666667, -0.2222222222}

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