f(x)=5x-2+x(4x-10)

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Solution for f(x)=5x-2+x(4x-10) equation:


Simplifying
f(x) = 5x + -2 + x(4x + -10)

Multiply f * x
fx = 5x + -2 + x(4x + -10)

Reorder the terms:
fx = 5x + -2 + x(-10 + 4x)
fx = 5x + -2 + (-10 * x + 4x * x)
fx = 5x + -2 + (-10x + 4x2)

Reorder the terms:
fx = -2 + 5x + -10x + 4x2

Combine like terms: 5x + -10x = -5x
fx = -2 + -5x + 4x2

Solving
fx = -2 + -5x + 4x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -2x-1 + -5 + 4x

Simplifying
f = -2x-1 + -5 + 4x

Reorder the terms:
f = -5 + -2x-1 + 4x

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