h(x)=2x^2+5x+3h(-4d+3)-0.5(d)

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Solution for h(x)=2x^2+5x+3h(-4d+3)-0.5(d) equation: 


Simplifying
h(x) = 2x2 + 5x + 3h(-4d + 3) + -0.5(d)

Multiply h * x
hx = 2x2 + 5x + 3h(-4d + 3) + -0.5(d)

Reorder the terms:
hx = 2x2 + 5x + 3h(3 + -4d) + -0.5(d)
hx = 2x2 + 5x + (3 * 3h + -4d * 3h) + -0.5(d)

Reorder the terms:
hx = 2x2 + 5x + (-12dh + 9h) + -0.5(d)
hx = 2x2 + 5x + (-12dh + 9h) + -0.5(d)

Reorder the terms:
hx = -0.5d + -12dh + 9h + 5x + 2x2

Solving
hx = -0.5d + -12dh + 9h + 5x + 2x2

Solving for variable 'h'.

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

Add '12dh' to each side of the equation.
12dh + hx = -0.5d + -12dh + 9h + 5x + 12dh + 2x2

Reorder the terms:
12dh + hx = -0.5d + -12dh + 12dh + 9h + 5x + 2x2

Combine like terms: -12dh + 12dh = 0
12dh + hx = -0.5d + 0 + 9h + 5x + 2x2
12dh + hx = -0.5d + 9h + 5x + 2x2

Add '-9h' to each side of the equation.
12dh + -9h + hx = -0.5d + 9h + 5x + -9h + 2x2

Reorder the terms:
12dh + -9h + hx = -0.5d + 9h + -9h + 5x + 2x2

Combine like terms: 9h + -9h = 0
12dh + -9h + hx = -0.5d + 0 + 5x + 2x2
12dh + -9h + hx = -0.5d + 5x + 2x2

Reorder the terms:
0.5d + 12dh + -9h + hx + -5x + -2x2 = -0.5d + 5x + 2x2 + 0.5d + -5x + -2x2

Reorder the terms:
0.5d + 12dh + -9h + hx + -5x + -2x2 = -0.5d + 0.5d + 5x + -5x + 2x2 + -2x2

Combine like terms: -0.5d + 0.5d = 0.0
0.5d + 12dh + -9h + hx + -5x + -2x2 = 0.0 + 5x + -5x + 2x2 + -2x2
0.5d + 12dh + -9h + hx + -5x + -2x2 = 5x + -5x + 2x2 + -2x2

Combine like terms: 5x + -5x = 0
0.5d + 12dh + -9h + hx + -5x + -2x2 = 0 + 2x2 + -2x2
0.5d + 12dh + -9h + hx + -5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0.5d + 12dh + -9h + hx + -5x + -2x2 = 0

The solution to this equation could not be determined.

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