(-2h+4)(5h+7)=0

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Solution for (-2h+4)(5h+7)=0 equation: 


Simplifying
(-2h + 4)(5h + 7) = 0

Reorder the terms:
(4 + -2h)(5h + 7) = 0

Reorder the terms:
(4 + -2h)(7 + 5h) = 0

Multiply (4 + -2h) * (7 + 5h)
(4(7 + 5h) + -2h * (7 + 5h)) = 0
((7 * 4 + 5h * 4) + -2h * (7 + 5h)) = 0
((28 + 20h) + -2h * (7 + 5h)) = 0
(28 + 20h + (7 * -2h + 5h * -2h)) = 0
(28 + 20h + (-14h + -10h2)) = 0

Combine like terms: 20h + -14h = 6h
(28 + 6h + -10h2) = 0

Solving
28 + 6h + -10h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + 3h + -5h2) = 0

Factor a trinomial.
2((2 + -1h)(7 + 5h)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(7 + 5h)' equal to zero and attempt to solve:

Simplifying
7 + 5h = 0

Solving
7 + 5h = 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 + 5h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5h = 0 + -7
5h = 0 + -7

Combine like terms: 0 + -7 = -7
5h = -7

Divide each side by '5'.
h = -1.4

Simplifying
h = -1.4
Solution
h = {2, -1.4}

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