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Simplifying -3f2 + 2 = 2 + 10f Reorder the terms: 2 + -3f2 = 2 + 10f Add '-2' to each side of the equation. 2 + -2 + -3f2 = 2 + -2 + 10f Combine like terms: 2 + -2 = 0 0 + -3f2 = 2 + -2 + 10f -3f2 = 2 + -2 + 10f Combine like terms: 2 + -2 = 0 -3f2 = 0 + 10f -3f2 = 10f Solving -3f2 = 10f Solving for variable 'f'. Reorder the terms: -10f + -3f2 = 10f + -10f Combine like terms: 10f + -10f = 0 -10f + -3f2 = 0 Factor out the Greatest Common Factor (GCF), '-1f'. -1f(10 + 3f) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'f' equal to zero and attempt to solve: Simplifying f = 0 Solving f = 0 Move all terms containing f to the left, all other terms to the right. Simplifying f = 0Subproblem 2
Set the factor '(10 + 3f)' equal to zero and attempt to solve: Simplifying 10 + 3f = 0 Solving 10 + 3f = 0 Move all terms containing f to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3f = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3f = 0 + -10 3f = 0 + -10 Combine like terms: 0 + -10 = -10 3f = -10 Divide each side by '3'. f = -3.333333333 Simplifying f = -3.333333333Solution
f = {0, -3.333333333}
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