(7p-8)(8p+9)=0

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Solution for (7p-8)(8p+9)=0 equation: 


Simplifying
(7p + -8)(8p + 9) = 0

Reorder the terms:
(-8 + 7p)(8p + 9) = 0

Reorder the terms:
(-8 + 7p)(9 + 8p) = 0

Multiply (-8 + 7p) * (9 + 8p)
(-8(9 + 8p) + 7p * (9 + 8p)) = 0
((9 * -8 + 8p * -8) + 7p * (9 + 8p)) = 0
((-72 + -64p) + 7p * (9 + 8p)) = 0
(-72 + -64p + (9 * 7p + 8p * 7p)) = 0
(-72 + -64p + (63p + 56p2)) = 0

Combine like terms: -64p + 63p = -1p
(-72 + -1p + 56p2) = 0

Solving
-72 + -1p + 56p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-9 + -8p)(8 + -7p) = 0


Subproblem 1
Set the factor '(-9 + -8p)' equal to zero and attempt to solve:

Simplifying
-9 + -8p = 0

Solving
-9 + -8p = 0

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

Add '9' to each side of the equation.
-9 + 9 + -8p = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -8p = 0 + 9
-8p = 0 + 9

Combine like terms: 0 + 9 = 9
-8p = 9

Divide each side by '-8'.
p = -1.125

Simplifying
p = -1.125

Subproblem 2
Set the factor '(8 + -7p)' equal to zero and attempt to solve:

Simplifying
8 + -7p = 0

Solving
8 + -7p = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7p = 0 + -8
-7p = 0 + -8

Combine like terms: 0 + -8 = -8
-7p = -8

Divide each side by '-7'.
p = 1.142857143

Simplifying
p = 1.142857143
Solution
p = {-1.125, 1.142857143}

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