(6x+5)(13x-15)=

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Solution for (6x+5)(13x-15)= equation: 


Simplifying
(6x + 5)(13x + -15) = 0

Reorder the terms:
(5 + 6x)(13x + -15) = 0

Reorder the terms:
(5 + 6x)(-15 + 13x) = 0

Multiply (5 + 6x) * (-15 + 13x)
(5(-15 + 13x) + 6x * (-15 + 13x)) = 0
((-15 * 5 + 13x * 5) + 6x * (-15 + 13x)) = 0
((-75 + 65x) + 6x * (-15 + 13x)) = 0
(-75 + 65x + (-15 * 6x + 13x * 6x)) = 0
(-75 + 65x + (-90x + 78x2)) = 0

Combine like terms: 65x + -90x = -25x
(-75 + -25x + 78x2) = 0

Solving
-75 + -25x + 78x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -6x)(15 + -13x) = 0


Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve:

Simplifying
-5 + -6x = 0

Solving
-5 + -6x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = 0 + 5
-6x = 0 + 5

Combine like terms: 0 + 5 = 5
-6x = 5

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

Subproblem 2
Set the factor '(15 + -13x)' equal to zero and attempt to solve:

Simplifying
15 + -13x = 0

Solving
15 + -13x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -13x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -13x = 0 + -15
-13x = 0 + -15

Combine like terms: 0 + -15 = -15
-13x = -15

Divide each side by '-13'.
x = 1.153846154

Simplifying
x = 1.153846154
Solution
x = {-0.8333333333, 1.153846154}

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