(5x-28)(15-x)=0

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Solution for (5x-28)(15-x)=0 equation: 


Simplifying
(5x + -28)(15 + -1x) = 0

Reorder the terms:
(-28 + 5x)(15 + -1x) = 0

Multiply (-28 + 5x) * (15 + -1x)
(-28(15 + -1x) + 5x * (15 + -1x)) = 0
((15 * -28 + -1x * -28) + 5x * (15 + -1x)) = 0
((-420 + 28x) + 5x * (15 + -1x)) = 0
(-420 + 28x + (15 * 5x + -1x * 5x)) = 0
(-420 + 28x + (75x + -5x2)) = 0

Combine like terms: 28x + 75x = 103x
(-420 + 103x + -5x2) = 0

Solving
-420 + 103x + -5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-15 + x)(28 + -5x) = 0


Subproblem 1
Set the factor '(-15 + x)' equal to zero and attempt to solve:

Simplifying
-15 + x = 0

Solving
-15 + x = 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 + x = 0 + 15

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

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

Simplifying
x = 15

Subproblem 2
Set the factor '(28 + -5x)' equal to zero and attempt to solve:

Simplifying
28 + -5x = 0

Solving
28 + -5x = 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 + -5x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -5x = 0 + -28
-5x = 0 + -28

Combine like terms: 0 + -28 = -28
-5x = -28

Divide each side by '-5'.
x = 5.6

Simplifying
x = 5.6
Solution
x = {15, 5.6}

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