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Simplifying (8x + -58)(e4x + 5)(4) + (8)(e4x + 5) = 0 Reorder the terms: (-58 + 8x)(e4x + 5)(4) + (8)(e4x + 5) = 0 Reorder the terms: (-58 + 8x)(5 + e4x)(4) + (8)(e4x + 5) = 0 Reorder the terms for easier multiplication: 4(-58 + 8x)(5 + e4x) + (8)(e4x + 5) = 0 Multiply (-58 + 8x) * (5 + e4x) 4(-58(5 + e4x) + 8x * (5 + e4x)) + (8)(e4x + 5) = 0 4((5 * -58 + e4x * -58) + 8x * (5 + e4x)) + (8)(e4x + 5) = 0 4((-290 + -58e4x) + 8x * (5 + e4x)) + (8)(e4x + 5) = 0 4(-290 + -58e4x + (5 * 8x + e4x * 8x)) + (8)(e4x + 5) = 0 Reorder the terms: 4(-290 + -58e4x + (8e4x2 + 40x)) + (8)(e4x + 5) = 0 4(-290 + -58e4x + (8e4x2 + 40x)) + (8)(e4x + 5) = 0 4(-290 + -58e4x + 8e4x2 + 40x) + (8)(e4x + 5) = 0 (-290 * 4 + -58e4x * 4 + 8e4x2 * 4 + 40x * 4) + (8)(e4x + 5) = 0 (-1160 + -232e4x + 32e4x2 + 160x) + (8)(e4x + 5) = 0 Reorder the terms: -1160 + -232e4x + 32e4x2 + 160x + 8(5 + e4x) = 0 -1160 + -232e4x + 32e4x2 + 160x + (5 * 8 + e4x * 8) = 0 -1160 + -232e4x + 32e4x2 + 160x + (40 + 8e4x) = 0 Reorder the terms: -1160 + 40 + -232e4x + 8e4x + 32e4x2 + 160x = 0 Combine like terms: -1160 + 40 = -1120 -1120 + -232e4x + 8e4x + 32e4x2 + 160x = 0 Combine like terms: -232e4x + 8e4x = -224e4x -1120 + -224e4x + 32e4x2 + 160x = 0 Solving -1120 + -224e4x + 32e4x2 + 160x = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '1120' to each side of the equation. -1120 + -224e4x + 32e4x2 + 1120 + 160x = 0 + 1120 Reorder the terms: -1120 + 1120 + -224e4x + 32e4x2 + 160x = 0 + 1120 Combine like terms: -1120 + 1120 = 0 0 + -224e4x + 32e4x2 + 160x = 0 + 1120 -224e4x + 32e4x2 + 160x = 0 + 1120 Combine like terms: 0 + 1120 = 1120 -224e4x + 32e4x2 + 160x = 1120 Add '-160x' to each side of the equation. -224e4x + 32e4x2 + 160x + -160x = 1120 + -160x Combine like terms: 160x + -160x = 0 -224e4x + 32e4x2 + 0 = 1120 + -160x -224e4x + 32e4x2 = 1120 + -160x Reorder the terms: -1120 + -224e4x + 32e4x2 + 160x = 1120 + -160x + -1120 + 160x Reorder the terms: -1120 + -224e4x + 32e4x2 + 160x = 1120 + -1120 + -160x + 160x Combine like terms: 1120 + -1120 = 0 -1120 + -224e4x + 32e4x2 + 160x = 0 + -160x + 160x -1120 + -224e4x + 32e4x2 + 160x = -160x + 160x Combine like terms: -160x + 160x = 0 -1120 + -224e4x + 32e4x2 + 160x = 0 Factor out the Greatest Common Factor (GCF), '32'. 32(-35 + -7e4x + e4x2 + 5x) = 0 Ignore the factor 32.Subproblem 1
Set the factor '(-35 + -7e4x + e4x2 + 5x)' equal to zero and attempt to solve: Simplifying -35 + -7e4x + e4x2 + 5x = 0 Solving -35 + -7e4x + e4x2 + 5x = 0 Move all terms containing e to the left, all other terms to the right. Add '35' to each side of the equation. -35 + -7e4x + e4x2 + 35 + 5x = 0 + 35 Reorder the terms: -35 + 35 + -7e4x + e4x2 + 5x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -7e4x + e4x2 + 5x = 0 + 35 -7e4x + e4x2 + 5x = 0 + 35 Combine like terms: 0 + 35 = 35 -7e4x + e4x2 + 5x = 35 Add '-5x' to each side of the equation. -7e4x + e4x2 + 5x + -5x = 35 + -5x Combine like terms: 5x + -5x = 0 -7e4x + e4x2 + 0 = 35 + -5x -7e4x + e4x2 = 35 + -5x 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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