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Simplifying F(x) = (8x + 4)(4x5) Multiply F * x xF = (8x + 4)(4x5) Reorder the terms: xF = (4 + 8x)(4x5) Remove parenthesis around (4x5) xF = (4 + 8x) * 4x5 Reorder the terms for easier multiplication: xF = 4x5(4 + 8x) xF = (4 * 4x5 + 8x * 4x5) xF = (16x5 + 32x6) Solving xF = 16x5 + 32x6 Solving for variable 'x'. Reorder the terms: xF + -16x5 + -32x6 = 16x5 + -16x5 + 32x6 + -32x6 Combine like terms: 16x5 + -16x5 = 0 xF + -16x5 + -32x6 = 0 + 32x6 + -32x6 xF + -16x5 + -32x6 = 32x6 + -32x6 Combine like terms: 32x6 + -32x6 = 0 xF + -16x5 + -32x6 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(F + -16x4 + -32x5) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(F + -16x4 + -32x5)' equal to zero and attempt to solve: Simplifying F + -16x4 + -32x5 = 0 Solving F + -16x4 + -32x5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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