(5h-7)(3h+7)=

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Solution for (5h-7)(3h+7)= equation: 


Simplifying
(5h + -7)(3h + 7) = 0

Reorder the terms:
(-7 + 5h)(3h + 7) = 0

Reorder the terms:
(-7 + 5h)(7 + 3h) = 0

Multiply (-7 + 5h) * (7 + 3h)
(-7(7 + 3h) + 5h * (7 + 3h)) = 0
((7 * -7 + 3h * -7) + 5h * (7 + 3h)) = 0
((-49 + -21h) + 5h * (7 + 3h)) = 0
(-49 + -21h + (7 * 5h + 3h * 5h)) = 0
(-49 + -21h + (35h + 15h2)) = 0

Combine like terms: -21h + 35h = 14h
(-49 + 14h + 15h2) = 0

Solving
-49 + 14h + 15h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-7 + -3h)(7 + -5h) = 0


Subproblem 1
Set the factor '(-7 + -3h)' equal to zero and attempt to solve:

Simplifying
-7 + -3h = 0

Solving
-7 + -3h = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3h = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3h = 0 + 7
-3h = 0 + 7

Combine like terms: 0 + 7 = 7
-3h = 7

Divide each side by '-3'.
h = -2.333333333

Simplifying
h = -2.333333333

Subproblem 2
Set the factor '(7 + -5h)' equal to zero and attempt to solve:

Simplifying
7 + -5h = 0

Solving
7 + -5h = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5h = 0 + -7
-5h = 0 + -7

Combine like terms: 0 + -7 = -7
-5h = -7

Divide each side by '-5'.
h = 1.4

Simplifying
h = 1.4
Solution
h = {-2.333333333, 1.4}

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