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Simplifying (X + 10) * ft = 2xft(x + 25) * ft Reorder the terms: (10 + X) * ft = 2xft(x + 25) * ft Reorder the terms for easier multiplication: ft(10 + X) = 2xft(x + 25) * ft (10 * ft + X * ft) = 2xft(x + 25) * ft (10ft + ftX) = 2xft(x + 25) * ft Reorder the terms: 10ft + ftX = 2ftx(25 + x) * ft Reorder the terms for easier multiplication: 10ft + ftX = 2ftx * ft(25 + x) Multiply ftx * ft 10ft + ftX = 2f2t2x(25 + x) 10ft + ftX = (25 * 2f2t2x + x * 2f2t2x) 10ft + ftX = (50f2t2x + 2f2t2x2) Solving 10ft + ftX = 50f2t2x + 2f2t2x2 Solving for variable 'f'. Reorder the terms: 10ft + ftX + -50f2t2x + -2f2t2x2 = 50f2t2x + -50f2t2x + 2f2t2x2 + -2f2t2x2 Combine like terms: 50f2t2x + -50f2t2x = 0 10ft + ftX + -50f2t2x + -2f2t2x2 = 0 + 2f2t2x2 + -2f2t2x2 10ft + ftX + -50f2t2x + -2f2t2x2 = 2f2t2x2 + -2f2t2x2 Combine like terms: 2f2t2x2 + -2f2t2x2 = 0 10ft + ftX + -50f2t2x + -2f2t2x2 = 0 Factor out the Greatest Common Factor (GCF), 'ft'. ft(10 + X + -50ftx + -2ftx2) = 0Subproblem 1
Set the factor 'ft' equal to zero and attempt to solve: Simplifying ft = 0 Solving ft = 0 Move all terms containing f to the left, all other terms to the right. Simplifying ft = 0 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 '(10 + X + -50ftx + -2ftx2)' equal to zero and attempt to solve: Simplifying 10 + X + -50ftx + -2ftx2 = 0 Solving 10 + X + -50ftx + -2ftx2 = 0 Move all terms containing f to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + X + -50ftx + -10 + -2ftx2 = 0 + -10 Reorder the terms: 10 + -10 + X + -50ftx + -2ftx2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + X + -50ftx + -2ftx2 = 0 + -10 X + -50ftx + -2ftx2 = 0 + -10 Combine like terms: 0 + -10 = -10 X + -50ftx + -2ftx2 = -10 Add '-1X' to each side of the equation. X + -50ftx + -1X + -2ftx2 = -10 + -1X Reorder the terms: X + -1X + -50ftx + -2ftx2 = -10 + -1X Combine like terms: X + -1X = 0 0 + -50ftx + -2ftx2 = -10 + -1X -50ftx + -2ftx2 = -10 + -1X 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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