(4h-3)(2h+1)=63

Solution for (4h-3)(2h+1)=63 equation:

Simplifying
(4h + -3)(2h + 1) = 63

Reorder the terms:
(-3 + 4h)(2h + 1) = 63

Reorder the terms:
(-3 + 4h)(1 + 2h) = 63

Multiply (-3 + 4h) * (1 + 2h)
(-3(1 + 2h) + 4h * (1 + 2h)) = 63
((1 * -3 + 2h * -3) + 4h * (1 + 2h)) = 63
((-3 + -6h) + 4h * (1 + 2h)) = 63
(-3 + -6h + (1 * 4h + 2h * 4h)) = 63
(-3 + -6h + (4h + 8h2)) = 63

Combine like terms: -6h + 4h = -2h
(-3 + -2h + 8h2) = 63

Solving
-3 + -2h + 8h2 = 63

Solving for variable 'h'.

Reorder the terms:
-3 + -63 + -2h + 8h2 = 63 + -63

Combine like terms: -3 + -63 = -66
-66 + -2h + 8h2 = 63 + -63

Combine like terms: 63 + -63 = 0
-66 + -2h + 8h2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-33 + -1h + 4h2) = 0

Factor a trinomial.
2((-11 + -4h)(3 + -1h)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-11 + -4h)' equal to zero and attempt to solve:

Simplifying
-11 + -4h = 0

Solving
-11 + -4h = 0

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

Add '11' to each side of the equation.
-11 + 11 + -4h = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -4h = 0 + 11
-4h = 0 + 11

Combine like terms: 0 + 11 = 11
-4h = 11

Divide each side by '-4'.
h = -2.75

Simplifying
h = -2.75
Subproblem 2
Set the factor '(3 + -1h)' equal to zero and attempt to solve:

Simplifying
3 + -1h = 0

Solving
3 + -1h = 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 + -1h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1h = 0 + -3
-1h = 0 + -3

Combine like terms: 0 + -3 = -3
-1h = -3

Divide each side by '-1'.
h = 3

Simplifying
h = 3
Solution
h = {-2.75, 3}