(2h+7)(-2h-7)=

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Solution for (2h+7)(-2h-7)= equation: 


Simplifying
(2h + 7)(-2h + -7) = 0

Reorder the terms:
(7 + 2h)(-2h + -7) = 0

Reorder the terms:
(7 + 2h)(-7 + -2h) = 0

Multiply (7 + 2h) * (-7 + -2h)
(7(-7 + -2h) + 2h * (-7 + -2h)) = 0
((-7 * 7 + -2h * 7) + 2h * (-7 + -2h)) = 0
((-49 + -14h) + 2h * (-7 + -2h)) = 0
(-49 + -14h + (-7 * 2h + -2h * 2h)) = 0
(-49 + -14h + (-14h + -4h2)) = 0

Combine like terms: -14h + -14h = -28h
(-49 + -28h + -4h2) = 0

Solving
-49 + -28h + -4h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(49 + 28h + 4h2) = 0

Factor a trinomial.
-1((7 + 2h)(7 + 2h)) = 0

Ignore the factor -1.

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

Simplifying
7 + 2h = 0

Solving
7 + 2h = 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 + 2h = 0 + -7

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

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

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

Simplifying
h = -3.5

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

Simplifying
7 + 2h = 0

Solving
7 + 2h = 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 + 2h = 0 + -7

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

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

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

Simplifying
h = -3.5
Solution
h = {-3.5, -3.5}

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