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Simplifying x(2x + -3)(3x + -5)(x + 4) = 0 Reorder the terms: x(-3 + 2x)(3x + -5)(x + 4) = 0 Reorder the terms: x(-3 + 2x)(-5 + 3x)(x + 4) = 0 Reorder the terms: x(-3 + 2x)(-5 + 3x)(4 + x) = 0 Multiply (-3 + 2x) * (-5 + 3x) x(-3(-5 + 3x) + 2x * (-5 + 3x))(4 + x) = 0 x((-5 * -3 + 3x * -3) + 2x * (-5 + 3x))(4 + x) = 0 x((15 + -9x) + 2x * (-5 + 3x))(4 + x) = 0 x(15 + -9x + (-5 * 2x + 3x * 2x))(4 + x) = 0 x(15 + -9x + (-10x + 6x2))(4 + x) = 0 Combine like terms: -9x + -10x = -19x x(15 + -19x + 6x2)(4 + x) = 0 Multiply (15 + -19x + 6x2) * (4 + x) x(15(4 + x) + -19x * (4 + x) + 6x2 * (4 + x)) = 0 x((4 * 15 + x * 15) + -19x * (4 + x) + 6x2 * (4 + x)) = 0 x((60 + 15x) + -19x * (4 + x) + 6x2 * (4 + x)) = 0 x(60 + 15x + (4 * -19x + x * -19x) + 6x2 * (4 + x)) = 0 x(60 + 15x + (-76x + -19x2) + 6x2 * (4 + x)) = 0 x(60 + 15x + -76x + -19x2 + (4 * 6x2 + x * 6x2)) = 0 x(60 + 15x + -76x + -19x2 + (24x2 + 6x3)) = 0 Combine like terms: 15x + -76x = -61x x(60 + -61x + -19x2 + 24x2 + 6x3) = 0 Combine like terms: -19x2 + 24x2 = 5x2 x(60 + -61x + 5x2 + 6x3) = 0 (60 * x + -61x * x + 5x2 * x + 6x3 * x) = 0 (60x + -61x2 + 5x3 + 6x4) = 0 Solving 60x + -61x2 + 5x3 + 6x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(60 + -61x + 5x2 + 6x3) = 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 '(60 + -61x + 5x2 + 6x3)' equal to zero and attempt to solve: Simplifying 60 + -61x + 5x2 + 6x3 = 0 Solving 60 + -61x + 5x2 + 6x3 = 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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