(12x-21)(12x-15)(h)=945

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Solution for (12x-21)(12x-15)(h)=945 equation: 


Simplifying
(12x + -21)(12x + -15)(h) = 945

Reorder the terms:
(-21 + 12x)(12x + -15)(h) = 945

Reorder the terms:
(-21 + 12x)(-15 + 12x)(h) = 945

Reorder the terms for easier multiplication:
h(-21 + 12x)(-15 + 12x) = 945

Multiply (-21 + 12x) * (-15 + 12x)
h(-21(-15 + 12x) + 12x * (-15 + 12x)) = 945
h((-15 * -21 + 12x * -21) + 12x * (-15 + 12x)) = 945
h((315 + -252x) + 12x * (-15 + 12x)) = 945
h(315 + -252x + (-15 * 12x + 12x * 12x)) = 945
h(315 + -252x + (-180x + 144x2)) = 945

Combine like terms: -252x + -180x = -432x
h(315 + -432x + 144x2) = 945
(315 * h + -432x * h + 144x2 * h) = 945
(315h + -432hx + 144hx2) = 945

Solving
315h + -432hx + 144hx2 = 945

Solving for variable 'h'.

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

Reorder the terms:
-945 + 315h + -432hx + 144hx2 = 945 + -945

Combine like terms: 945 + -945 = 0
-945 + 315h + -432hx + 144hx2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-105 + 35h + -48hx + 16hx2) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-105 + 35h + -48hx + 16hx2)' equal to zero and attempt to solve:

Simplifying
-105 + 35h + -48hx + 16hx2 = 0

Solving
-105 + 35h + -48hx + 16hx2 = 0

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

Add '105' to each side of the equation.
-105 + 35h + -48hx + 105 + 16hx2 = 0 + 105

Reorder the terms:
-105 + 105 + 35h + -48hx + 16hx2 = 0 + 105

Combine like terms: -105 + 105 = 0
0 + 35h + -48hx + 16hx2 = 0 + 105
35h + -48hx + 16hx2 = 0 + 105

Combine like terms: 0 + 105 = 105
35h + -48hx + 16hx2 = 105

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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