f(x)=2x^2-4xwhatisf(x+h)

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Solution for f(x)=2x^2-4xwhatisf(x+h) equation: 


Simplifying
f(x) = 2x2 + -4xwhatisf(x + h)

Multiply f * x
fx = 2x2 + -4xwhatisf(x + h)

Reorder the terms:
fx = 2x2 + -4afhistwx(h + x)
fx = 2x2 + (h * -4afhistwx + x * -4afhistwx)

Reorder the terms:
fx = 2x2 + (-4afhistwx2 + -4afh2istwx)
fx = 2x2 + (-4afhistwx2 + -4afh2istwx)

Reorder the terms:
fx = -4afhistwx2 + -4afh2istwx + 2x2

Solving
fx = -4afhistwx2 + -4afh2istwx + 2x2

Solving for variable 'f'.

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

Add '4afhistwx2' to each side of the equation.
4afhistwx2 + fx = -4afhistwx2 + -4afh2istwx + 4afhistwx2 + 2x2

Reorder the terms:
4afhistwx2 + fx = -4afhistwx2 + 4afhistwx2 + -4afh2istwx + 2x2

Combine like terms: -4afhistwx2 + 4afhistwx2 = 0
4afhistwx2 + fx = 0 + -4afh2istwx + 2x2
4afhistwx2 + fx = -4afh2istwx + 2x2

Add '4afh2istwx' to each side of the equation.
4afhistwx2 + 4afh2istwx + fx = -4afh2istwx + 4afh2istwx + 2x2

Combine like terms: -4afh2istwx + 4afh2istwx = 0
4afhistwx2 + 4afh2istwx + fx = 0 + 2x2
4afhistwx2 + 4afh2istwx + fx = 2x2

Combine like terms: 2x2 + -2x2 = 0
4afhistwx2 + 4afh2istwx + fx + -2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(4afhistwx + 4afh2istw + f + -2x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(4afhistwx + 4afh2istw + f + -2x)' equal to zero and attempt to solve:

Simplifying
4afhistwx + 4afh2istw + f + -2x = 0

Solving
4afhistwx + 4afh2istw + f + -2x = 0

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

Add '2x' to each side of the equation.
4afhistwx + 4afh2istw + f + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
4afhistwx + 4afh2istw + f + 0 = 0 + 2x
4afhistwx + 4afh2istw + f = 0 + 2x
Remove the zero:
4afhistwx + 4afh2istw + f = 2x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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