7h(h-3)+5=4-(6h-1)

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Solution for 7h(h-3)+5=4-(6h-1) equation: 


Simplifying
7h(h + -3) + 5 = 4 + -1(6h + -1)

Reorder the terms:
7h(-3 + h) + 5 = 4 + -1(6h + -1)
(-3 * 7h + h * 7h) + 5 = 4 + -1(6h + -1)
(-21h + 7h2) + 5 = 4 + -1(6h + -1)

Reorder the terms:
5 + -21h + 7h2 = 4 + -1(6h + -1)

Reorder the terms:
5 + -21h + 7h2 = 4 + -1(-1 + 6h)
5 + -21h + 7h2 = 4 + (-1 * -1 + 6h * -1)
5 + -21h + 7h2 = 4 + (1 + -6h)

Combine like terms: 4 + 1 = 5
5 + -21h + 7h2 = 5 + -6h

Add '-5' to each side of the equation.
5 + -21h + -5 + 7h2 = 5 + -5 + -6h

Reorder the terms:
5 + -5 + -21h + 7h2 = 5 + -5 + -6h

Combine like terms: 5 + -5 = 0
0 + -21h + 7h2 = 5 + -5 + -6h
-21h + 7h2 = 5 + -5 + -6h

Combine like terms: 5 + -5 = 0
-21h + 7h2 = 0 + -6h
-21h + 7h2 = -6h

Solving
-21h + 7h2 = -6h

Solving for variable 'h'.

Reorder the terms:
-21h + 6h + 7h2 = -6h + 6h

Combine like terms: -21h + 6h = -15h
-15h + 7h2 = -6h + 6h

Combine like terms: -6h + 6h = 0
-15h + 7h2 = 0

Factor out the Greatest Common Factor (GCF), 'h'.
h(-15 + 7h) = 0


Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

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

Simplifying
h = 0

Subproblem 2
Set the factor '(-15 + 7h)' equal to zero and attempt to solve:

Simplifying
-15 + 7h = 0

Solving
-15 + 7h = 0

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

Add '15' to each side of the equation.
-15 + 15 + 7h = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 7h = 0 + 15
7h = 0 + 15

Combine like terms: 0 + 15 = 15
7h = 15

Divide each side by '7'.
h = 2.142857143

Simplifying
h = 2.142857143
Solution
h = {0, 2.142857143}

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