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Simplifying f(n) = 4n + 3Findf(-5) Multiply f * n fn = 4n + 3Findf(-5) Reorder the terms for easier multiplication: fn = 4n + 3 * -5dfinF Multiply 3 * -5 fn = 4n + -15dfinF Reorder the terms: fn = -15dfinF + 4n Solving fn = -15dfinF + 4n Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '15dfinF' to each side of the equation. 15dfinF + fn = -15dfinF + 15dfinF + 4n Combine like terms: -15dfinF + 15dfinF = 0 15dfinF + fn = 0 + 4n 15dfinF + fn = 4n Combine like terms: 4n + -4n = 0 15dfinF + fn + -4n = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(15dfiF + f + -4) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing f to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(15dfiF + f + -4)' equal to zero and attempt to solve: Simplifying 15dfiF + f + -4 = 0 Reorder the terms: -4 + 15dfiF + f = 0 Solving -4 + 15dfiF + f = 0 Move all terms containing f to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 15dfiF + 4 + f = 0 + 4 Reorder the terms: -4 + 4 + 15dfiF + f = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 15dfiF + f = 0 + 4 15dfiF + f = 0 + 4 Combine like terms: 0 + 4 = 4 15dfiF + f = 4 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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