(h-2)(4h-7)=0

Solution for (h-2)(4h-7)=0 equation:

Simplifying
(h + -2)(4h + -7) = 0

Reorder the terms:
(-2 + h)(4h + -7) = 0

Reorder the terms:
(-2 + h)(-7 + 4h) = 0

Multiply (-2 + h) * (-7 + 4h)
(-2(-7 + 4h) + h(-7 + 4h)) = 0
((-7 * -2 + 4h * -2) + h(-7 + 4h)) = 0
((14 + -8h) + h(-7 + 4h)) = 0
(14 + -8h + (-7 * h + 4h * h)) = 0
(14 + -8h + (-7h + 4h2)) = 0

Combine like terms: -8h + -7h = -15h
(14 + -15h + 4h2) = 0

Solving
14 + -15h + 4h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(7 + -4h)(2 + -1h) = 0

Subproblem 1
Set the factor '(7 + -4h)' equal to zero and attempt to solve:

Simplifying
7 + -4h = 0

Solving
7 + -4h = 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 + -4h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4h = 0 + -7
-4h = 0 + -7

Combine like terms: 0 + -7 = -7
-4h = -7

Divide each side by '-4'.
h = 1.75

Simplifying
h = 1.75
Subproblem 2
Set the factor '(2 + -1h)' equal to zero and attempt to solve:

Simplifying
2 + -1h = 0

Solving
2 + -1h = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1h = 0 + -2
-1h = 0 + -2

Combine like terms: 0 + -2 = -2
-1h = -2

Divide each side by '-1'.
h = 2

Simplifying
h = 2
Solution
h = {1.75, 2}