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Simplifying 5 + -1(3x + 12) = f(x + 4) Reorder the terms: 5 + -1(12 + 3x) = f(x + 4) 5 + (12 * -1 + 3x * -1) = f(x + 4) 5 + (-12 + -3x) = f(x + 4) Combine like terms: 5 + -12 = -7 -7 + -3x = f(x + 4) Reorder the terms: -7 + -3x = f(4 + x) -7 + -3x = (4 * f + x * f) -7 + -3x = (4f + fx) Solving -7 + -3x = 4f + fx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1fx' to each side of the equation. -7 + -1fx + -3x = 4f + fx + -1fx Combine like terms: fx + -1fx = 0 -7 + -1fx + -3x = 4f + 0 -7 + -1fx + -3x = 4f Add '7' to each side of the equation. -7 + -1fx + 7 + -3x = 7 + 4f Reorder the terms: -7 + 7 + -1fx + -3x = 7 + 4f Combine like terms: -7 + 7 = 0 0 + -1fx + -3x = 7 + 4f -1fx + -3x = 7 + 4f Reorder the terms: -7 + -4f + -1fx + -3x = 7 + 4f + -7 + -4f Reorder the terms: -7 + -4f + -1fx + -3x = 7 + -7 + 4f + -4f Combine like terms: 7 + -7 = 0 -7 + -4f + -1fx + -3x = 0 + 4f + -4f -7 + -4f + -1fx + -3x = 4f + -4f Combine like terms: 4f + -4f = 0 -7 + -4f + -1fx + -3x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 4f + fx + 3x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 4f + fx + 3x)' equal to zero and attempt to solve: Simplifying 7 + 4f + fx + 3x = 0 Solving 7 + 4f + fx + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 4f + fx + -7 + 3x = 0 + -7 Reorder the terms: 7 + -7 + 4f + fx + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4f + fx + 3x = 0 + -7 4f + fx + 3x = 0 + -7 Combine like terms: 0 + -7 = -7 4f + fx + 3x = -7 Add '-4f' to each side of the equation. 4f + fx + -4f + 3x = -7 + -4f Reorder the terms: 4f + -4f + fx + 3x = -7 + -4f Combine like terms: 4f + -4f = 0 0 + fx + 3x = -7 + -4f fx + 3x = -7 + -4f 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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