(7x+2h)(7x+2h)=0

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Solution for (7x+2h)(7x+2h)=0 equation: 


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

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

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

Multiply (2h + 7x) * (2h + 7x)
(2h * (2h + 7x) + 7x * (2h + 7x)) = 0
((2h * 2h + 7x * 2h) + 7x * (2h + 7x)) = 0

Reorder the terms:
((14hx + 4h2) + 7x * (2h + 7x)) = 0
((14hx + 4h2) + 7x * (2h + 7x)) = 0
(14hx + 4h2 + (2h * 7x + 7x * 7x)) = 0
(14hx + 4h2 + (14hx + 49x2)) = 0

Reorder the terms:
(14hx + 14hx + 4h2 + 49x2) = 0

Combine like terms: 14hx + 14hx = 28hx
(28hx + 4h2 + 49x2) = 0

Solving
28hx + 4h2 + 49x2 = 0

Solving for variable 'h'.

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


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

Simplifying
2h + 7x = 0

Solving
2h + 7x = 0

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

Add '-7x' to each side of the equation.
2h + 7x + -7x = 0 + -7x

Combine like terms: 7x + -7x = 0
2h + 0 = 0 + -7x
2h = 0 + -7x
Remove the zero:
2h = -7x

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

Simplifying
h = -3.5x

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

Simplifying
2h + 7x = 0

Solving
2h + 7x = 0

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

Add '-7x' to each side of the equation.
2h + 7x + -7x = 0 + -7x

Combine like terms: 7x + -7x = 0
2h + 0 = 0 + -7x
2h = 0 + -7x
Remove the zero:
2h = -7x

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

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

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