16x^2+(h-32)x-14=0

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Solution for 16x^2+(h-32)x-14=0 equation:


Simplifying
16x2 + (h + -32) * x + -14 = 0

Reorder the terms:
16x2 + (-32 + h) * x + -14 = 0

Reorder the terms for easier multiplication:
16x2 + x(-32 + h) + -14 = 0
16x2 + (-32 * x + h * x) + -14 = 0

Reorder the terms:
16x2 + (hx + -32x) + -14 = 0
16x2 + (hx + -32x) + -14 = 0

Reorder the terms:
-14 + hx + -32x + 16x2 = 0

Solving
-14 + hx + -32x + 16x2 = 0

Solving for variable 'h'.

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

Add '14' to each side of the equation.
-14 + hx + -32x + 14 + 16x2 = 0 + 14

Reorder the terms:
-14 + 14 + hx + -32x + 16x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + hx + -32x + 16x2 = 0 + 14
hx + -32x + 16x2 = 0 + 14

Combine like terms: 0 + 14 = 14
hx + -32x + 16x2 = 14

Add '32x' to each side of the equation.
hx + -32x + 32x + 16x2 = 14 + 32x

Combine like terms: -32x + 32x = 0
hx + 0 + 16x2 = 14 + 32x
hx + 16x2 = 14 + 32x

Add '-16x2' to each side of the equation.
hx + 16x2 + -16x2 = 14 + 32x + -16x2

Combine like terms: 16x2 + -16x2 = 0
hx + 0 = 14 + 32x + -16x2
hx = 14 + 32x + -16x2

Divide each side by 'x'.
h = 14x-1 + 32 + -16x

Simplifying
h = 14x-1 + 32 + -16x

Reorder the terms:
h = 32 + 14x-1 + -16x

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