x(3x+5)-4x=14

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Solution for x(3x+5)-4x=14 equation: 


Simplifying
x(3x + 5) + -4x = 14

Reorder the terms:
x(5 + 3x) + -4x = 14
(5 * x + 3x * x) + -4x = 14
(5x + 3x2) + -4x = 14

Reorder the terms:
5x + -4x + 3x2 = 14

Combine like terms: 5x + -4x = 1x
1x + 3x2 = 14

Solving
1x + 3x2 = 14

Solving for variable 'x'.

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

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

Factor a trinomial.
(-7 + -3x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve:

Simplifying
-7 + -3x = 0

Solving
-7 + -3x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 0 + 7
-3x = 0 + 7

Combine like terms: 0 + 7 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

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 = {-2.333333333, 2}

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