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Simplifying 3f(x2 + -1) + 3g(3x + -3) = 0 Reorder the terms: 3f(-1 + x2) + 3g(3x + -3) = 0 (-1 * 3f + x2 * 3f) + 3g(3x + -3) = 0 (-3f + 3fx2) + 3g(3x + -3) = 0 Reorder the terms: -3f + 3fx2 + 3g(-3 + 3x) = 0 -3f + 3fx2 + (-3 * 3g + 3x * 3g) = 0 -3f + 3fx2 + (-9g + 9gx) = 0 Solving -3f + 3fx2 + -9g + 9gx = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '9g' to each side of the equation. -3f + 3fx2 + -9g + 9g + 9gx = 0 + 9g Combine like terms: -9g + 9g = 0 -3f + 3fx2 + 0 + 9gx = 0 + 9g -3f + 3fx2 + 9gx = 0 + 9g Remove the zero: -3f + 3fx2 + 9gx = 9g Add '-9gx' to each side of the equation. -3f + 3fx2 + 9gx + -9gx = 9g + -9gx Combine like terms: 9gx + -9gx = 0 -3f + 3fx2 + 0 = 9g + -9gx -3f + 3fx2 = 9g + -9gx Reorder the terms: -3f + 3fx2 + -9g + 9gx = 9g + -9g + -9gx + 9gx Combine like terms: 9g + -9g = 0 -3f + 3fx2 + -9g + 9gx = 0 + -9gx + 9gx -3f + 3fx2 + -9g + 9gx = -9gx + 9gx Combine like terms: -9gx + 9gx = 0 -3f + 3fx2 + -9g + 9gx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1f + fx2 + -3g + 3gx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1f + fx2 + -3g + 3gx)' equal to zero and attempt to solve: Simplifying -1f + fx2 + -3g + 3gx = 0 Solving -1f + fx2 + -3g + 3gx = 0 Move all terms containing f to the left, all other terms to the right. Add '3g' to each side of the equation. -1f + fx2 + -3g + 3g + 3gx = 0 + 3g Combine like terms: -3g + 3g = 0 -1f + fx2 + 0 + 3gx = 0 + 3g -1f + fx2 + 3gx = 0 + 3g Remove the zero: -1f + fx2 + 3gx = 3g Add '-3gx' to each side of the equation. -1f + fx2 + 3gx + -3gx = 3g + -3gx Combine like terms: 3gx + -3gx = 0 -1f + fx2 + 0 = 3g + -3gx -1f + fx2 = 3g + -3gx 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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