(6x-7)(8x+5)=

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Solution for (6x-7)(8x+5)= equation: 


Simplifying
(6x + -7)(8x + 5) = 0

Reorder the terms:
(-7 + 6x)(8x + 5) = 0

Reorder the terms:
(-7 + 6x)(5 + 8x) = 0

Multiply (-7 + 6x) * (5 + 8x)
(-7(5 + 8x) + 6x * (5 + 8x)) = 0
((5 * -7 + 8x * -7) + 6x * (5 + 8x)) = 0
((-35 + -56x) + 6x * (5 + 8x)) = 0
(-35 + -56x + (5 * 6x + 8x * 6x)) = 0
(-35 + -56x + (30x + 48x2)) = 0

Combine like terms: -56x + 30x = -26x
(-35 + -26x + 48x2) = 0

Solving
-35 + -26x + 48x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -8x)(7 + -6x) = 0


Subproblem 1
Set the factor '(-5 + -8x)' equal to zero and attempt to solve:

Simplifying
-5 + -8x = 0

Solving
-5 + -8x = 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 + -8x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = 0 + 5
-8x = 0 + 5

Combine like terms: 0 + 5 = 5
-8x = 5

Divide each side by '-8'.
x = -0.625

Simplifying
x = -0.625

Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve:

Simplifying
7 + -6x = 0

Solving
7 + -6x = 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 + -6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7

Combine like terms: 0 + -7 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667
Solution
x = {-0.625, 1.166666667}

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