(-4h+2)(3h+7)=0

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Solution for (-4h+2)(3h+7)=0 equation: 


Simplifying
(-4h + 2)(3h + 7) = 0

Reorder the terms:
(2 + -4h)(3h + 7) = 0

Reorder the terms:
(2 + -4h)(7 + 3h) = 0

Multiply (2 + -4h) * (7 + 3h)
(2(7 + 3h) + -4h * (7 + 3h)) = 0
((7 * 2 + 3h * 2) + -4h * (7 + 3h)) = 0
((14 + 6h) + -4h * (7 + 3h)) = 0
(14 + 6h + (7 * -4h + 3h * -4h)) = 0
(14 + 6h + (-28h + -12h2)) = 0

Combine like terms: 6h + -28h = -22h
(14 + -22h + -12h2) = 0

Solving
14 + -22h + -12h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -11h + -6h2) = 0

Factor a trinomial.
2((1 + -2h)(7 + 3h)) = 0

Ignore the factor 2.

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

Simplifying
1 + -2h = 0

Solving
1 + -2h = 0

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

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

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

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

Divide each side by '-2'.
h = 0.5

Simplifying
h = 0.5

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 = {0.5, -2.333333333}

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