(13x+14)(6x-5)=0

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Solution for (13x+14)(6x-5)=0 equation:


Simplifying
(13x + 14)(6x + -5) = 0

Reorder the terms:
(14 + 13x)(6x + -5) = 0

Reorder the terms:
(14 + 13x)(-5 + 6x) = 0

Multiply (14 + 13x) * (-5 + 6x)
(14(-5 + 6x) + 13x * (-5 + 6x)) = 0
((-5 * 14 + 6x * 14) + 13x * (-5 + 6x)) = 0
((-70 + 84x) + 13x * (-5 + 6x)) = 0
(-70 + 84x + (-5 * 13x + 6x * 13x)) = 0
(-70 + 84x + (-65x + 78x2)) = 0

Combine like terms: 84x + -65x = 19x
(-70 + 19x + 78x2) = 0

Solving
-70 + 19x + 78x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-14 + -13x)(5 + -6x) = 0


Subproblem 1
Set the factor '(-14 + -13x)' equal to zero and attempt to solve:

Simplifying
-14 + -13x = 0

Solving
-14 + -13x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -13x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -13x = 0 + 14
-13x = 0 + 14

Combine like terms: 0 + 14 = 14
-13x = 14

Divide each side by '-13'.
x = -1.076923077

Simplifying
x = -1.076923077

Subproblem 2
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
Solution
x = {-1.076923077, 0.8333333333}

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