f(x)=10x+3x^2f(-3)

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Solution for f(x)=10x+3x^2f(-3) equation:


Simplifying
f(x) = 10x + 3x2f(-3)

Multiply f * x
fx = 10x + 3x2f(-3)

Reorder the terms for easier multiplication:
fx = 10x + 3 * -3fx2

Multiply 3 * -3
fx = 10x + -9fx2

Reorder the terms:
fx = -9fx2 + 10x

Solving
fx = -9fx2 + 10x

Solving for variable 'f'.

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

Add '9fx2' to each side of the equation.
fx + 9fx2 = -9fx2 + 9fx2 + 10x

Combine like terms: -9fx2 + 9fx2 = 0
fx + 9fx2 = 0 + 10x
fx + 9fx2 = 10x

Combine like terms: 10x + -10x = 0
fx + 9fx2 + -10x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(f + 9fx + -10) = 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 '(f + 9fx + -10)' equal to zero and attempt to solve: Simplifying f + 9fx + -10 = 0 Reorder the terms: -10 + f + 9fx = 0 Solving -10 + f + 9fx = 0 Move all terms containing f to the left, all other terms to the right. Add '10' to each side of the equation. -10 + f + 10 + 9fx = 0 + 10 Reorder the terms: -10 + 10 + f + 9fx = 0 + 10 Combine like terms: -10 + 10 = 0 0 + f + 9fx = 0 + 10 f + 9fx = 0 + 10 Combine like terms: 0 + 10 = 10 f + 9fx = 10 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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