x(15x+41)+14=0

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Solution for x(15x+41)+14=0 equation: 


Simplifying
x(15x + 41) + 14 = 0

Reorder the terms:
x(41 + 15x) + 14 = 0
(41 * x + 15x * x) + 14 = 0
(41x + 15x2) + 14 = 0

Reorder the terms:
14 + 41x + 15x2 = 0

Solving
14 + 41x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 3x)(2 + 5x) = 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 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 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 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-2.333333333, -0.4}

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