(3x-5)(x+14)=0

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Solution for (3x-5)(x+14)=0 equation: 


Simplifying
(3x + -5)(x + 14) = 0

Reorder the terms:
(-5 + 3x)(x + 14) = 0

Reorder the terms:
(-5 + 3x)(14 + x) = 0

Multiply (-5 + 3x) * (14 + x)
(-5(14 + x) + 3x * (14 + x)) = 0
((14 * -5 + x * -5) + 3x * (14 + x)) = 0
((-70 + -5x) + 3x * (14 + x)) = 0
(-70 + -5x + (14 * 3x + x * 3x)) = 0
(-70 + -5x + (42x + 3x2)) = 0

Combine like terms: -5x + 42x = 37x
(-70 + 37x + 3x2) = 0

Solving
-70 + 37x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-14 + -1x)(5 + -3x) = 0


Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

Subproblem 2
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
Solution
x = {-14, 1.666666667}

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