(3x+5)(-7x-4)=

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Solution for (3x+5)(-7x-4)= equation: 


Simplifying
(3x + 5)(-7x + -4) = 0

Reorder the terms:
(5 + 3x)(-7x + -4) = 0

Reorder the terms:
(5 + 3x)(-4 + -7x) = 0

Multiply (5 + 3x) * (-4 + -7x)
(5(-4 + -7x) + 3x * (-4 + -7x)) = 0
((-4 * 5 + -7x * 5) + 3x * (-4 + -7x)) = 0
((-20 + -35x) + 3x * (-4 + -7x)) = 0
(-20 + -35x + (-4 * 3x + -7x * 3x)) = 0
(-20 + -35x + (-12x + -21x2)) = 0

Combine like terms: -35x + -12x = -47x
(-20 + -47x + -21x2) = 0

Solving
-20 + -47x + -21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(20 + 47x + 21x2) = 0

Factor a trinomial.
-1((5 + 3x)(4 + 7x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 2
Set the factor '(4 + 7x)' equal to zero and attempt to solve:

Simplifying
4 + 7x = 0

Solving
4 + 7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 0 + -4
7x = 0 + -4

Combine like terms: 0 + -4 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714
Solution
x = {-1.666666667, -0.5714285714}

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