h=(3x+7)(2x+1)+(x-4)(-2x-1)

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Solution for h=(3x+7)(2x+1)+(x-4)(-2x-1) equation: 


Simplifying
h = (3x + 7)(2x + 1) + (x + -4)(-2x + -1)

Reorder the terms:
h = (7 + 3x)(2x + 1) + (x + -4)(-2x + -1)

Reorder the terms:
h = (7 + 3x)(1 + 2x) + (x + -4)(-2x + -1)

Multiply (7 + 3x) * (1 + 2x)
h = (7(1 + 2x) + 3x * (1 + 2x)) + (x + -4)(-2x + -1)
h = ((1 * 7 + 2x * 7) + 3x * (1 + 2x)) + (x + -4)(-2x + -1)
h = ((7 + 14x) + 3x * (1 + 2x)) + (x + -4)(-2x + -1)
h = (7 + 14x + (1 * 3x + 2x * 3x)) + (x + -4)(-2x + -1)
h = (7 + 14x + (3x + 6x2)) + (x + -4)(-2x + -1)

Combine like terms: 14x + 3x = 17x
h = (7 + 17x + 6x2) + (x + -4)(-2x + -1)

Reorder the terms:
h = 7 + 17x + 6x2 + (-4 + x)(-2x + -1)

Reorder the terms:
h = 7 + 17x + 6x2 + (-4 + x)(-1 + -2x)

Multiply (-4 + x) * (-1 + -2x)
h = 7 + 17x + 6x2 + (-4(-1 + -2x) + x(-1 + -2x))
h = 7 + 17x + 6x2 + ((-1 * -4 + -2x * -4) + x(-1 + -2x))
h = 7 + 17x + 6x2 + ((4 + 8x) + x(-1 + -2x))
h = 7 + 17x + 6x2 + (4 + 8x + (-1 * x + -2x * x))
h = 7 + 17x + 6x2 + (4 + 8x + (-1x + -2x2))

Combine like terms: 8x + -1x = 7x
h = 7 + 17x + 6x2 + (4 + 7x + -2x2)

Reorder the terms:
h = 7 + 4 + 17x + 7x + 6x2 + -2x2

Combine like terms: 7 + 4 = 11
h = 11 + 17x + 7x + 6x2 + -2x2

Combine like terms: 17x + 7x = 24x
h = 11 + 24x + 6x2 + -2x2

Combine like terms: 6x2 + -2x2 = 4x2
h = 11 + 24x + 4x2

Solving
h = 11 + 24x + 4x2

Solving for variable 'h'.

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

Simplifying
h = 11 + 24x + 4x2

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