(8p-3)(6p+7)=

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Solution for (8p-3)(6p+7)= equation: 


Simplifying
(8p + -3)(6p + 7) = 0

Reorder the terms:
(-3 + 8p)(6p + 7) = 0

Reorder the terms:
(-3 + 8p)(7 + 6p) = 0

Multiply (-3 + 8p) * (7 + 6p)
(-3(7 + 6p) + 8p * (7 + 6p)) = 0
((7 * -3 + 6p * -3) + 8p * (7 + 6p)) = 0
((-21 + -18p) + 8p * (7 + 6p)) = 0
(-21 + -18p + (7 * 8p + 6p * 8p)) = 0
(-21 + -18p + (56p + 48p2)) = 0

Combine like terms: -18p + 56p = 38p
(-21 + 38p + 48p2) = 0

Solving
-21 + 38p + 48p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-7 + -6p)(3 + -8p) = 0


Subproblem 1
Set the factor '(-7 + -6p)' equal to zero and attempt to solve:

Simplifying
-7 + -6p = 0

Solving
-7 + -6p = 0

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

Add '7' to each side of the equation.
-7 + 7 + -6p = 0 + 7

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

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

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

Simplifying
p = -1.166666667

Subproblem 2
Set the factor '(3 + -8p)' equal to zero and attempt to solve:

Simplifying
3 + -8p = 0

Solving
3 + -8p = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8p = 0 + -3
-8p = 0 + -3

Combine like terms: 0 + -3 = -3
-8p = -3

Divide each side by '-8'.
p = 0.375

Simplifying
p = 0.375
Solution
p = {-1.166666667, 0.375}

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