h(x+2)=2x^2-3(x+2)+8

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Solution for h(x+2)=2x^2-3(x+2)+8 equation:


Simplifying
h(x + 2) = 2x2 + -3(x + 2) + 8

Reorder the terms:
h(2 + x) = 2x2 + -3(x + 2) + 8
(2 * h + x * h) = 2x2 + -3(x + 2) + 8
(2h + hx) = 2x2 + -3(x + 2) + 8

Reorder the terms:
2h + hx = 2x2 + -3(2 + x) + 8
2h + hx = 2x2 + (2 * -3 + x * -3) + 8
2h + hx = 2x2 + (-6 + -3x) + 8

Reorder the terms:
2h + hx = -6 + 8 + -3x + 2x2

Combine like terms: -6 + 8 = 2
2h + hx = 2 + -3x + 2x2

Solving
2h + hx = 2 + -3x + 2x2

Solving for variable 'h'.

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

Reorder the terms:
-2 + 2h + hx + 3x + -2x2 = 2 + -3x + 2x2 + -2 + 3x + -2x2

Reorder the terms:
-2 + 2h + hx + 3x + -2x2 = 2 + -2 + -3x + 3x + 2x2 + -2x2

Combine like terms: 2 + -2 = 0
-2 + 2h + hx + 3x + -2x2 = 0 + -3x + 3x + 2x2 + -2x2
-2 + 2h + hx + 3x + -2x2 = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
-2 + 2h + hx + 3x + -2x2 = 0 + 2x2 + -2x2
-2 + 2h + hx + 3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + 2h + hx + 3x + -2x2 = 0

The solution to this equation could not be determined.

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