(4x+13)(11x-4)=

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Solution for (4x+13)(11x-4)= equation: 


Simplifying
(4x + 13)(11x + -4) = 0

Reorder the terms:
(13 + 4x)(11x + -4) = 0

Reorder the terms:
(13 + 4x)(-4 + 11x) = 0

Multiply (13 + 4x) * (-4 + 11x)
(13(-4 + 11x) + 4x * (-4 + 11x)) = 0
((-4 * 13 + 11x * 13) + 4x * (-4 + 11x)) = 0
((-52 + 143x) + 4x * (-4 + 11x)) = 0
(-52 + 143x + (-4 * 4x + 11x * 4x)) = 0
(-52 + 143x + (-16x + 44x2)) = 0

Combine like terms: 143x + -16x = 127x
(-52 + 127x + 44x2) = 0

Solving
-52 + 127x + 44x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + -4x)(4 + -11x) = 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 '(4 + -11x)' equal to zero and attempt to solve:

Simplifying
4 + -11x = 0

Solving
4 + -11x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -11x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -11x = 0 + -4
-11x = 0 + -4

Combine like terms: 0 + -4 = -4
-11x = -4

Divide each side by '-11'.
x = 0.3636363636

Simplifying
x = 0.3636363636
Solution
x = {-3.25, 0.3636363636}

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