14=3x(x-2)+5

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Solution for 14=3x(x-2)+5 equation:


Simplifying
14 = 3x(x + -2) + 5

Reorder the terms:
14 = 3x(-2 + x) + 5
14 = (-2 * 3x + x * 3x) + 5
14 = (-6x + 3x2) + 5

Reorder the terms:
14 = 5 + -6x + 3x2

Solving
14 = 5 + -6x + 3x2

Solving for variable 'x'.

Combine like terms: 14 + -5 = 9
9 + 6x + -3x2 = 5 + -6x + 3x2 + -5 + 6x + -3x2

Reorder the terms:
9 + 6x + -3x2 = 5 + -5 + -6x + 6x + 3x2 + -3x2

Combine like terms: 5 + -5 = 0
9 + 6x + -3x2 = 0 + -6x + 6x + 3x2 + -3x2
9 + 6x + -3x2 = -6x + 6x + 3x2 + -3x2

Combine like terms: -6x + 6x = 0
9 + 6x + -3x2 = 0 + 3x2 + -3x2
9 + 6x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
9 + 6x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 2x + -1x2) = 0

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

Ignore the factor 3.

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {3, -1}

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