(3x+8)(x-3)=-14

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Solution for (3x+8)(x-3)=-14 equation: 


Simplifying
(3x + 8)(x + -3) = -14

Reorder the terms:
(8 + 3x)(x + -3) = -14

Reorder the terms:
(8 + 3x)(-3 + x) = -14

Multiply (8 + 3x) * (-3 + x)
(8(-3 + x) + 3x * (-3 + x)) = -14
((-3 * 8 + x * 8) + 3x * (-3 + x)) = -14
((-24 + 8x) + 3x * (-3 + x)) = -14
(-24 + 8x + (-3 * 3x + x * 3x)) = -14
(-24 + 8x + (-9x + 3x2)) = -14

Combine like terms: 8x + -9x = -1x
(-24 + -1x + 3x2) = -14

Solving
-24 + -1x + 3x2 = -14

Solving for variable 'x'.

Reorder the terms:
-24 + 14 + -1x + 3x2 = -14 + 14

Combine like terms: -24 + 14 = -10
-10 + -1x + 3x2 = -14 + 14

Combine like terms: -14 + 14 = 0
-10 + -1x + 3x2 = 0

Factor a trinomial.
(-5 + -3x)(2 + -1x) = 0


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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1.666666667, 2}

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