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Simplifying (x3 + 5)(x2 + -7)(4x + 4) = 0 Reorder the terms: (5 + x3)(x2 + -7)(4x + 4) = 0 Reorder the terms: (5 + x3)(-7 + x2)(4x + 4) = 0 Reorder the terms: (5 + x3)(-7 + x2)(4 + 4x) = 0 Multiply (5 + x3) * (-7 + x2) (5(-7 + x2) + x3(-7 + x2))(4 + 4x) = 0 ((-7 * 5 + x2 * 5) + x3(-7 + x2))(4 + 4x) = 0 ((-35 + 5x2) + x3(-7 + x2))(4 + 4x) = 0 (-35 + 5x2 + (-7 * x3 + x2 * x3))(4 + 4x) = 0 (-35 + 5x2 + (-7x3 + x5))(4 + 4x) = 0 (-35 + 5x2 + -7x3 + x5)(4 + 4x) = 0 Multiply (-35 + 5x2 + -7x3 + x5) * (4 + 4x) (-35(4 + 4x) + 5x2 * (4 + 4x) + -7x3 * (4 + 4x) + x5(4 + 4x)) = 0 ((4 * -35 + 4x * -35) + 5x2 * (4 + 4x) + -7x3 * (4 + 4x) + x5(4 + 4x)) = 0 ((-140 + -140x) + 5x2 * (4 + 4x) + -7x3 * (4 + 4x) + x5(4 + 4x)) = 0 (-140 + -140x + (4 * 5x2 + 4x * 5x2) + -7x3 * (4 + 4x) + x5(4 + 4x)) = 0 (-140 + -140x + (20x2 + 20x3) + -7x3 * (4 + 4x) + x5(4 + 4x)) = 0 (-140 + -140x + 20x2 + 20x3 + (4 * -7x3 + 4x * -7x3) + x5(4 + 4x)) = 0 (-140 + -140x + 20x2 + 20x3 + (-28x3 + -28x4) + x5(4 + 4x)) = 0 (-140 + -140x + 20x2 + 20x3 + -28x3 + -28x4 + (4 * x5 + 4x * x5)) = 0 (-140 + -140x + 20x2 + 20x3 + -28x3 + -28x4 + (4x5 + 4x6)) = 0 Combine like terms: 20x3 + -28x3 = -8x3 (-140 + -140x + 20x2 + -8x3 + -28x4 + 4x5 + 4x6) = 0 Solving -140 + -140x + 20x2 + -8x3 + -28x4 + 4x5 + 4x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-35 + -35x + 5x2 + -2x3 + -7x4 + x5 + x6) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-35 + -35x + 5x2 + -2x3 + -7x4 + x5 + x6)' equal to zero and attempt to solve: Simplifying -35 + -35x + 5x2 + -2x3 + -7x4 + x5 + x6 = 0 Solving -35 + -35x + 5x2 + -2x3 + -7x4 + x5 + x6 = 0 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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