(2x+7)(6x-5)=0

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Solution for (2x+7)(6x-5)=0 equation: 


Simplifying
(2x + 7)(6x + -5) = 0

Reorder the terms:
(7 + 2x)(6x + -5) = 0

Reorder the terms:
(7 + 2x)(-5 + 6x) = 0

Multiply (7 + 2x) * (-5 + 6x)
(7(-5 + 6x) + 2x * (-5 + 6x)) = 0
((-5 * 7 + 6x * 7) + 2x * (-5 + 6x)) = 0
((-35 + 42x) + 2x * (-5 + 6x)) = 0
(-35 + 42x + (-5 * 2x + 6x * 2x)) = 0
(-35 + 42x + (-10x + 12x2)) = 0

Combine like terms: 42x + -10x = 32x
(-35 + 32x + 12x2) = 0

Solving
-35 + 32x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -2x)(5 + -6x) = 0


Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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 = {-3.5, 0.8333333333}

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