(4x+13)*(3x-1)=

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Solution for (4x+13)*(3x-1)= equation: 


Simplifying
(4x + 13)(3x + -1) = 0

Reorder the terms:
(13 + 4x)(3x + -1) = 0

Reorder the terms:
(13 + 4x)(-1 + 3x) = 0

Multiply (13 + 4x) * (-1 + 3x)
(13(-1 + 3x) + 4x * (-1 + 3x)) = 0
((-1 * 13 + 3x * 13) + 4x * (-1 + 3x)) = 0
((-13 + 39x) + 4x * (-1 + 3x)) = 0
(-13 + 39x + (-1 * 4x + 3x * 4x)) = 0
(-13 + 39x + (-4x + 12x2)) = 0

Combine like terms: 39x + -4x = 35x
(-13 + 35x + 12x2) = 0

Solving
-13 + 35x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + -4x)(1 + -3x) = 0


Subproblem 1
Set the factor '(-13 + -4x)' equal to zero and attempt to solve:

Simplifying
-13 + -4x = 0

Solving
-13 + -4x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -4x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -4x = 0 + 13
-4x = 0 + 13

Combine like terms: 0 + 13 = 13
-4x = 13

Divide each side by '-4'.
x = -3.25

Simplifying
x = -3.25

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-3.25, 0.3333333333}

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