(4h+6)(4h-7)=

Solution for (4h+6)(4h-7)= equation:

Simplifying
(4h + 6)(4h + -7) = 0

Reorder the terms:
(6 + 4h)(4h + -7) = 0

Reorder the terms:
(6 + 4h)(-7 + 4h) = 0

Multiply (6 + 4h) * (-7 + 4h)
(6(-7 + 4h) + 4h * (-7 + 4h)) = 0
((-7 * 6 + 4h * 6) + 4h * (-7 + 4h)) = 0
((-42 + 24h) + 4h * (-7 + 4h)) = 0
(-42 + 24h + (-7 * 4h + 4h * 4h)) = 0
(-42 + 24h + (-28h + 16h2)) = 0

Combine like terms: 24h + -28h = -4h
(-42 + -4h + 16h2) = 0

Solving
-42 + -4h + 16h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-21 + -2h + 8h2) = 0

Factor a trinomial.
2((-3 + -2h)(7 + -4h)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -2h)' equal to zero and attempt to solve:

Simplifying
-3 + -2h = 0

Solving
-3 + -2h = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2h = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2h = 0 + 3
-2h = 0 + 3

Combine like terms: 0 + 3 = 3
-2h = 3

Divide each side by '-2'.
h = -1.5

Simplifying
h = -1.5
Subproblem 2
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
Solution
h = {-1.5, 1.75}