(6x-13)(7x+11)=0

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Solution for (6x-13)(7x+11)=0 equation: 


Simplifying
(6x + -13)(7x + 11) = 0

Reorder the terms:
(-13 + 6x)(7x + 11) = 0

Reorder the terms:
(-13 + 6x)(11 + 7x) = 0

Multiply (-13 + 6x) * (11 + 7x)
(-13(11 + 7x) + 6x * (11 + 7x)) = 0
((11 * -13 + 7x * -13) + 6x * (11 + 7x)) = 0
((-143 + -91x) + 6x * (11 + 7x)) = 0
(-143 + -91x + (11 * 6x + 7x * 6x)) = 0
(-143 + -91x + (66x + 42x2)) = 0

Combine like terms: -91x + 66x = -25x
(-143 + -25x + 42x2) = 0

Solving
-143 + -25x + 42x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -7x)(13 + -6x) = 0


Subproblem 1
Set the factor '(-11 + -7x)' equal to zero and attempt to solve:

Simplifying
-11 + -7x = 0

Solving
-11 + -7x = 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 + -7x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -7x = 0 + 11
-7x = 0 + 11

Combine like terms: 0 + 11 = 11
-7x = 11

Divide each side by '-7'.
x = -1.571428571

Simplifying
x = -1.571428571

Subproblem 2
Set the factor '(13 + -6x)' equal to zero and attempt to solve:

Simplifying
13 + -6x = 0

Solving
13 + -6x = 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 + -6x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6x = 0 + -13
-6x = 0 + -13

Combine like terms: 0 + -13 = -13
-6x = -13

Divide each side by '-6'.
x = 2.166666667

Simplifying
x = 2.166666667
Solution
x = {-1.571428571, 2.166666667}

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