(-X-4)(3X+1)=10

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Solution for (-X-4)(3X+1)=10 equation: 


Simplifying
(-1X + -4)(3X + 1) = 10

Reorder the terms:
(-4 + -1X)(3X + 1) = 10

Reorder the terms:
(-4 + -1X)(1 + 3X) = 10

Multiply (-4 + -1X) * (1 + 3X)
(-4(1 + 3X) + -1X * (1 + 3X)) = 10
((1 * -4 + 3X * -4) + -1X * (1 + 3X)) = 10
((-4 + -12X) + -1X * (1 + 3X)) = 10
(-4 + -12X + (1 * -1X + 3X * -1X)) = 10
(-4 + -12X + (-1X + -3X2)) = 10

Combine like terms: -12X + -1X = -13X
(-4 + -13X + -3X2) = 10

Solving
-4 + -13X + -3X2 = 10

Solving for variable 'X'.

Reorder the terms:
-4 + -10 + -13X + -3X2 = 10 + -10

Combine like terms: -4 + -10 = -14
-14 + -13X + -3X2 = 10 + -10

Combine like terms: 10 + -10 = 0
-14 + -13X + -3X2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(14 + 13X + 3X2) = 0

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

Ignore the factor -1.

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 + X)' equal to zero and attempt to solve:

Simplifying
2 + X = 0

Solving
2 + X = 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 + X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + X = 0 + -2
X = 0 + -2

Combine like terms: 0 + -2 = -2
X = -2

Simplifying
X = -2
Solution
X = {-2.333333333, -2}

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