(h-50)(-x^2+2x+17)=0

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Solution for (h-50)(-x^2+2x+17)=0 equation:


Simplifying
(h + -50)(-1x2 + 2x + 17) = 0

Reorder the terms:
(-50 + h)(-1x2 + 2x + 17) = 0

Reorder the terms:
(-50 + h)(17 + 2x + -1x2) = 0

Multiply (-50 + h) * (17 + 2x + -1x2)
(-50(17 + 2x + -1x2) + h(17 + 2x + -1x2)) = 0
((17 * -50 + 2x * -50 + -1x2 * -50) + h(17 + 2x + -1x2)) = 0
((-850 + -100x + 50x2) + h(17 + 2x + -1x2)) = 0
(-850 + -100x + 50x2 + (17 * h + 2x * h + -1x2 * h)) = 0
(-850 + -100x + 50x2 + (17h + 2hx + -1hx2)) = 0

Reorder the terms:
(-850 + 17h + 2hx + -1hx2 + -100x + 50x2) = 0
(-850 + 17h + 2hx + -1hx2 + -100x + 50x2) = 0

Solving
-850 + 17h + 2hx + -1hx2 + -100x + 50x2 = 0

Solving for variable 'h'.

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

Add '850' to each side of the equation.
-850 + 17h + 2hx + -1hx2 + -100x + 850 + 50x2 = 0 + 850

Reorder the terms:
-850 + 850 + 17h + 2hx + -1hx2 + -100x + 50x2 = 0 + 850

Combine like terms: -850 + 850 = 0
0 + 17h + 2hx + -1hx2 + -100x + 50x2 = 0 + 850
17h + 2hx + -1hx2 + -100x + 50x2 = 0 + 850

Combine like terms: 0 + 850 = 850
17h + 2hx + -1hx2 + -100x + 50x2 = 850

Add '100x' to each side of the equation.
17h + 2hx + -1hx2 + -100x + 100x + 50x2 = 850 + 100x

Combine like terms: -100x + 100x = 0
17h + 2hx + -1hx2 + 0 + 50x2 = 850 + 100x
17h + 2hx + -1hx2 + 50x2 = 850 + 100x

Add '-50x2' to each side of the equation.
17h + 2hx + -1hx2 + 50x2 + -50x2 = 850 + 100x + -50x2

Combine like terms: 50x2 + -50x2 = 0
17h + 2hx + -1hx2 + 0 = 850 + 100x + -50x2
17h + 2hx + -1hx2 = 850 + 100x + -50x2

Reorder the terms:
-850 + 17h + 2hx + -1hx2 + -100x + 50x2 = 850 + 100x + -50x2 + -850 + -100x + 50x2

Reorder the terms:
-850 + 17h + 2hx + -1hx2 + -100x + 50x2 = 850 + -850 + 100x + -100x + -50x2 + 50x2

Combine like terms: 850 + -850 = 0
-850 + 17h + 2hx + -1hx2 + -100x + 50x2 = 0 + 100x + -100x + -50x2 + 50x2
-850 + 17h + 2hx + -1hx2 + -100x + 50x2 = 100x + -100x + -50x2 + 50x2

Combine like terms: 100x + -100x = 0
-850 + 17h + 2hx + -1hx2 + -100x + 50x2 = 0 + -50x2 + 50x2
-850 + 17h + 2hx + -1hx2 + -100x + 50x2 = -50x2 + 50x2

Combine like terms: -50x2 + 50x2 = 0
-850 + 17h + 2hx + -1hx2 + -100x + 50x2 = 0

The solution to this equation could not be determined.

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