(3h-4)(3h-7)=

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Solution for (3h-4)(3h-7)= equation: 


Simplifying
(3h + -4)(3h + -7) = 0

Reorder the terms:
(-4 + 3h)(3h + -7) = 0

Reorder the terms:
(-4 + 3h)(-7 + 3h) = 0

Multiply (-4 + 3h) * (-7 + 3h)
(-4(-7 + 3h) + 3h * (-7 + 3h)) = 0
((-7 * -4 + 3h * -4) + 3h * (-7 + 3h)) = 0
((28 + -12h) + 3h * (-7 + 3h)) = 0
(28 + -12h + (-7 * 3h + 3h * 3h)) = 0
(28 + -12h + (-21h + 9h2)) = 0

Combine like terms: -12h + -21h = -33h
(28 + -33h + 9h2) = 0

Solving
28 + -33h + 9h2 = 0

Solving for variable 'h'.

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


Subproblem 1
Set the factor '(4 + -3h)' equal to zero and attempt to solve:

Simplifying
4 + -3h = 0

Solving
4 + -3h = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3h = 0 + -4
-3h = 0 + -4

Combine like terms: 0 + -4 = -4
-3h = -4

Divide each side by '-3'.
h = 1.333333333

Simplifying
h = 1.333333333

Subproblem 2
Set the factor '(7 + -3h)' equal to zero and attempt to solve:

Simplifying
7 + -3h = 0

Solving
7 + -3h = 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 + -3h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3h = 0 + -7
-3h = 0 + -7

Combine like terms: 0 + -7 = -7
-3h = -7

Divide each side by '-3'.
h = 2.333333333

Simplifying
h = 2.333333333
Solution
h = {1.333333333, 2.333333333}

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