(h-1)(x+2)=2x^2-3x+5

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Solution for (h-1)(x+2)=2x^2-3x+5 equation:


Simplifying
(h + -1)(x + 2) = 2x2 + -3x + 5

Reorder the terms:
(-1 + h)(x + 2) = 2x2 + -3x + 5

Reorder the terms:
(-1 + h)(2 + x) = 2x2 + -3x + 5

Multiply (-1 + h) * (2 + x)
(-1(2 + x) + h(2 + x)) = 2x2 + -3x + 5
((2 * -1 + x * -1) + h(2 + x)) = 2x2 + -3x + 5
((-2 + -1x) + h(2 + x)) = 2x2 + -3x + 5
(-2 + -1x + (2 * h + x * h)) = 2x2 + -3x + 5
(-2 + -1x + (2h + hx)) = 2x2 + -3x + 5

Reorder the terms:
(-2 + 2h + hx + -1x) = 2x2 + -3x + 5
(-2 + 2h + hx + -1x) = 2x2 + -3x + 5

Reorder the terms:
-2 + 2h + hx + -1x = 5 + -3x + 2x2

Solving
-2 + 2h + hx + -1x = 5 + -3x + 2x2

Solving for variable 'h'.

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

Add '2' to each side of the equation.
-2 + 2h + hx + 2 + -1x = 5 + -3x + 2 + 2x2

Reorder the terms:
-2 + 2 + 2h + hx + -1x = 5 + -3x + 2 + 2x2

Combine like terms: -2 + 2 = 0
0 + 2h + hx + -1x = 5 + -3x + 2 + 2x2
2h + hx + -1x = 5 + -3x + 2 + 2x2

Reorder the terms:
2h + hx + -1x = 5 + 2 + -3x + 2x2

Combine like terms: 5 + 2 = 7
2h + hx + -1x = 7 + -3x + 2x2

Add 'x' to each side of the equation.
2h + hx + -1x + x = 7 + -3x + x + 2x2

Combine like terms: -1x + x = 0
2h + hx + 0 = 7 + -3x + x + 2x2
2h + hx = 7 + -3x + x + 2x2

Combine like terms: -3x + x = -2x
2h + hx = 7 + -2x + 2x2

Reorder the terms:
-7 + 2h + hx + 2x + -2x2 = 7 + -2x + 2x2 + -7 + 2x + -2x2

Reorder the terms:
-7 + 2h + hx + 2x + -2x2 = 7 + -7 + -2x + 2x + 2x2 + -2x2

Combine like terms: 7 + -7 = 0
-7 + 2h + hx + 2x + -2x2 = 0 + -2x + 2x + 2x2 + -2x2
-7 + 2h + hx + 2x + -2x2 = -2x + 2x + 2x2 + -2x2

Combine like terms: -2x + 2x = 0
-7 + 2h + hx + 2x + -2x2 = 0 + 2x2 + -2x2
-7 + 2h + hx + 2x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-7 + 2h + hx + 2x + -2x2 = 0

The solution to this equation could not be determined.

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