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Simplifying 4x(3x2 + -8)(x + 60) = 0 Reorder the terms: 4x(-8 + 3x2)(x + 60) = 0 Reorder the terms: 4x(-8 + 3x2)(60 + x) = 0 Multiply (-8 + 3x2) * (60 + x) 4x(-8(60 + x) + 3x2 * (60 + x)) = 0 4x((60 * -8 + x * -8) + 3x2 * (60 + x)) = 0 4x((-480 + -8x) + 3x2 * (60 + x)) = 0 4x(-480 + -8x + (60 * 3x2 + x * 3x2)) = 0 4x(-480 + -8x + (180x2 + 3x3)) = 0 4x(-480 + -8x + 180x2 + 3x3) = 0 (-480 * 4x + -8x * 4x + 180x2 * 4x + 3x3 * 4x) = 0 (-1920x + -32x2 + 720x3 + 12x4) = 0 Solving -1920x + -32x2 + 720x3 + 12x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-480 + -8x + 180x2 + 3x3) = 0 Ignore the factor 4.Subproblem 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 '(-480 + -8x + 180x2 + 3x3)' equal to zero and attempt to solve: Simplifying -480 + -8x + 180x2 + 3x3 = 0 Solving -480 + -8x + 180x2 + 3x3 = 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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