(10x+11)(13x-4)=

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Solution for (10x+11)(13x-4)= equation: 


Simplifying
(10x + 11)(13x + -4) = 0

Reorder the terms:
(11 + 10x)(13x + -4) = 0

Reorder the terms:
(11 + 10x)(-4 + 13x) = 0

Multiply (11 + 10x) * (-4 + 13x)
(11(-4 + 13x) + 10x * (-4 + 13x)) = 0
((-4 * 11 + 13x * 11) + 10x * (-4 + 13x)) = 0
((-44 + 143x) + 10x * (-4 + 13x)) = 0
(-44 + 143x + (-4 * 10x + 13x * 10x)) = 0
(-44 + 143x + (-40x + 130x2)) = 0

Combine like terms: 143x + -40x = 103x
(-44 + 103x + 130x2) = 0

Solving
-44 + 103x + 130x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -10x)(4 + -13x) = 0


Subproblem 1
Set the factor '(-11 + -10x)' equal to zero and attempt to solve:

Simplifying
-11 + -10x = 0

Solving
-11 + -10x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -10x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -10x = 0 + 11
-10x = 0 + 11

Combine like terms: 0 + 11 = 11
-10x = 11

Divide each side by '-10'.
x = -1.1

Simplifying
x = -1.1

Subproblem 2
Set the factor '(4 + -13x)' equal to zero and attempt to solve:

Simplifying
4 + -13x = 0

Solving
4 + -13x = 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 + -13x = 0 + -4

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

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

Divide each side by '-13'.
x = 0.3076923077

Simplifying
x = 0.3076923077
Solution
x = {-1.1, 0.3076923077}

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