(6x-13)(5x+1)=

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Solution for (6x-13)(5x+1)= equation: 


Simplifying
(6x + -13)(5x + 1) = 0

Reorder the terms:
(-13 + 6x)(5x + 1) = 0

Reorder the terms:
(-13 + 6x)(1 + 5x) = 0

Multiply (-13 + 6x) * (1 + 5x)
(-13(1 + 5x) + 6x * (1 + 5x)) = 0
((1 * -13 + 5x * -13) + 6x * (1 + 5x)) = 0
((-13 + -65x) + 6x * (1 + 5x)) = 0
(-13 + -65x + (1 * 6x + 5x * 6x)) = 0
(-13 + -65x + (6x + 30x2)) = 0

Combine like terms: -65x + 6x = -59x
(-13 + -59x + 30x2) = 0

Solving
-13 + -59x + 30x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -5x)(13 + -6x) = 0


Subproblem 1
Set the factor '(-1 + -5x)' equal to zero and attempt to solve:

Simplifying
-1 + -5x = 0

Solving
-1 + -5x = 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 + -5x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = 0 + 1
-5x = 0 + 1

Combine like terms: 0 + 1 = 1
-5x = 1

Divide each side by '-5'.
x = -0.2

Simplifying
x = -0.2

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 = {-0.2, 2.166666667}

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