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Simplifying (5x + -1)(x + 3) * 3(25x2 + -1) = 0 Reorder the terms: (-1 + 5x)(x + 3) * 3(25x2 + -1) = 0 Reorder the terms: (-1 + 5x)(3 + x) * 3(25x2 + -1) = 0 Reorder the terms: (-1 + 5x)(3 + x) * 3(-1 + 25x2) = 0 Reorder the terms for easier multiplication: 3(-1 + 5x)(3 + x)(-1 + 25x2) = 0 Multiply (-1 + 5x) * (3 + x) 3(-1(3 + x) + 5x * (3 + x))(-1 + 25x2) = 0 3((3 * -1 + x * -1) + 5x * (3 + x))(-1 + 25x2) = 0 3((-3 + -1x) + 5x * (3 + x))(-1 + 25x2) = 0 3(-3 + -1x + (3 * 5x + x * 5x))(-1 + 25x2) = 0 3(-3 + -1x + (15x + 5x2))(-1 + 25x2) = 0 Combine like terms: -1x + 15x = 14x 3(-3 + 14x + 5x2)(-1 + 25x2) = 0 Multiply (-3 + 14x + 5x2) * (-1 + 25x2) 3(-3(-1 + 25x2) + 14x * (-1 + 25x2) + 5x2 * (-1 + 25x2)) = 0 3((-1 * -3 + 25x2 * -3) + 14x * (-1 + 25x2) + 5x2 * (-1 + 25x2)) = 0 3((3 + -75x2) + 14x * (-1 + 25x2) + 5x2 * (-1 + 25x2)) = 0 3(3 + -75x2 + (-1 * 14x + 25x2 * 14x) + 5x2 * (-1 + 25x2)) = 0 3(3 + -75x2 + (-14x + 350x3) + 5x2 * (-1 + 25x2)) = 0 3(3 + -75x2 + -14x + 350x3 + (-1 * 5x2 + 25x2 * 5x2)) = 0 3(3 + -75x2 + -14x + 350x3 + (-5x2 + 125x4)) = 0 Reorder the terms: 3(3 + -14x + -75x2 + -5x2 + 350x3 + 125x4) = 0 Combine like terms: -75x2 + -5x2 = -80x2 3(3 + -14x + -80x2 + 350x3 + 125x4) = 0 (3 * 3 + -14x * 3 + -80x2 * 3 + 350x3 * 3 + 125x4 * 3) = 0 (9 + -42x + -240x2 + 1050x3 + 375x4) = 0 Solving 9 + -42x + -240x2 + 1050x3 + 375x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(3 + -14x + -80x2 + 350x3 + 125x4) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -14x + -80x2 + 350x3 + 125x4)' equal to zero and attempt to solve: Simplifying 3 + -14x + -80x2 + 350x3 + 125x4 = 0 Solving 3 + -14x + -80x2 + 350x3 + 125x4 = 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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