(4x+20)(-14x-20)=0

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Solution for (4x+20)(-14x-20)=0 equation: 


Simplifying
(4x + 20)(-14x + -20) = 0

Reorder the terms:
(20 + 4x)(-14x + -20) = 0

Reorder the terms:
(20 + 4x)(-20 + -14x) = 0

Multiply (20 + 4x) * (-20 + -14x)
(20(-20 + -14x) + 4x * (-20 + -14x)) = 0
((-20 * 20 + -14x * 20) + 4x * (-20 + -14x)) = 0
((-400 + -280x) + 4x * (-20 + -14x)) = 0
(-400 + -280x + (-20 * 4x + -14x * 4x)) = 0
(-400 + -280x + (-80x + -56x2)) = 0

Combine like terms: -280x + -80x = -360x
(-400 + -360x + -56x2) = 0

Solving
-400 + -360x + -56x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-8'.
-8(50 + 45x + 7x2) = 0

Factor a trinomial.
-8((5 + x)(10 + 7x)) = 0

Ignore the factor -8.

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

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

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

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

Simplifying
x = -5

Subproblem 2
Set the factor '(10 + 7x)' equal to zero and attempt to solve:

Simplifying
10 + 7x = 0

Solving
10 + 7x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 7x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 0 + -10
7x = 0 + -10

Combine like terms: 0 + -10 = -10
7x = -10

Divide each side by '7'.
x = -1.428571429

Simplifying
x = -1.428571429
Solution
x = {-5, -1.428571429}

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