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Simplifying 7f(4f + -7) = 0 Reorder the terms: 7f(-7 + 4f) = 0 (-7 * 7f + 4f * 7f) = 0 (-49f + 28f2) = 0 Solving -49f + 28f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '7f'. 7f(-7 + 4f) = 0 Ignore the factor 7.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 '(-7 + 4f)' equal to zero and attempt to solve: Simplifying -7 + 4f = 0 Solving -7 + 4f = 0 Move all terms containing f to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4f = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4f = 0 + 7 4f = 0 + 7 Combine like terms: 0 + 7 = 7 4f = 7 Divide each side by '4'. f = 1.75 Simplifying f = 1.75Solution
f = {0, 1.75}
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