(7x+15)*(-3x-13)=0

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Solution for (7x+15)*(-3x-13)=0 equation: 


Simplifying
(7x + 15)(-3x + -13) = 0

Reorder the terms:
(15 + 7x)(-3x + -13) = 0

Reorder the terms:
(15 + 7x)(-13 + -3x) = 0

Multiply (15 + 7x) * (-13 + -3x)
(15(-13 + -3x) + 7x * (-13 + -3x)) = 0
((-13 * 15 + -3x * 15) + 7x * (-13 + -3x)) = 0
((-195 + -45x) + 7x * (-13 + -3x)) = 0
(-195 + -45x + (-13 * 7x + -3x * 7x)) = 0
(-195 + -45x + (-91x + -21x2)) = 0

Combine like terms: -45x + -91x = -136x
(-195 + -136x + -21x2) = 0

Solving
-195 + -136x + -21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(195 + 136x + 21x2) = 0

Factor a trinomial.
-1((13 + 3x)(15 + 7x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(13 + 3x)' equal to zero and attempt to solve:

Simplifying
13 + 3x = 0

Solving
13 + 3x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 3x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = 0 + -13
3x = 0 + -13

Combine like terms: 0 + -13 = -13
3x = -13

Divide each side by '3'.
x = -4.333333333

Simplifying
x = -4.333333333

Subproblem 2
Set the factor '(15 + 7x)' equal to zero and attempt to solve:

Simplifying
15 + 7x = 0

Solving
15 + 7x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 7x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 7x = 0 + -15
7x = 0 + -15

Combine like terms: 0 + -15 = -15
7x = -15

Divide each side by '7'.
x = -2.142857143

Simplifying
x = -2.142857143
Solution
x = {-4.333333333, -2.142857143}

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