(x+28)(20x-5)=0

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Solution for (x+28)(20x-5)=0 equation: 


Simplifying
(x + 28)(20x + -5) = 0

Reorder the terms:
(28 + x)(20x + -5) = 0

Reorder the terms:
(28 + x)(-5 + 20x) = 0

Multiply (28 + x) * (-5 + 20x)
(28(-5 + 20x) + x(-5 + 20x)) = 0
((-5 * 28 + 20x * 28) + x(-5 + 20x)) = 0
((-140 + 560x) + x(-5 + 20x)) = 0
(-140 + 560x + (-5 * x + 20x * x)) = 0
(-140 + 560x + (-5x + 20x2)) = 0

Combine like terms: 560x + -5x = 555x
(-140 + 555x + 20x2) = 0

Solving
-140 + 555x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-28 + 111x + 4x2) = 0

Factor a trinomial.
5((-28 + -1x)(1 + -4x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-28 + -1x)' equal to zero and attempt to solve:

Simplifying
-28 + -1x = 0

Solving
-28 + -1x = 0

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

Add '28' to each side of the equation.
-28 + 28 + -1x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -1x = 0 + 28
-1x = 0 + 28

Combine like terms: 0 + 28 = 28
-1x = 28

Divide each side by '-1'.
x = -28

Simplifying
x = -28

Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {-28, 0.25}

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