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Simplifying 2(x + -2)(x + -3)(x + 5) = 0 Reorder the terms: 2(-2 + x)(x + -3)(x + 5) = 0 Reorder the terms: 2(-2 + x)(-3 + x)(x + 5) = 0 Reorder the terms: 2(-2 + x)(-3 + x)(5 + x) = 0 Multiply (-2 + x) * (-3 + x) 2(-2(-3 + x) + x(-3 + x))(5 + x) = 0 2((-3 * -2 + x * -2) + x(-3 + x))(5 + x) = 0 2((6 + -2x) + x(-3 + x))(5 + x) = 0 2(6 + -2x + (-3 * x + x * x))(5 + x) = 0 2(6 + -2x + (-3x + x2))(5 + x) = 0 Combine like terms: -2x + -3x = -5x 2(6 + -5x + x2)(5 + x) = 0 Multiply (6 + -5x + x2) * (5 + x) 2(6(5 + x) + -5x * (5 + x) + x2(5 + x)) = 0 2((5 * 6 + x * 6) + -5x * (5 + x) + x2(5 + x)) = 0 2((30 + 6x) + -5x * (5 + x) + x2(5 + x)) = 0 2(30 + 6x + (5 * -5x + x * -5x) + x2(5 + x)) = 0 2(30 + 6x + (-25x + -5x2) + x2(5 + x)) = 0 2(30 + 6x + -25x + -5x2 + (5 * x2 + x * x2)) = 0 2(30 + 6x + -25x + -5x2 + (5x2 + x3)) = 0 Combine like terms: 6x + -25x = -19x 2(30 + -19x + -5x2 + 5x2 + x3) = 0 Combine like terms: -5x2 + 5x2 = 0 2(30 + -19x + 0 + x3) = 0 2(30 + -19x + x3) = 0 (30 * 2 + -19x * 2 + x3 * 2) = 0 (60 + -38x + 2x3) = 0 Solving 60 + -38x + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(30 + -19x + x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(30 + -19x + x3)' equal to zero and attempt to solve: Simplifying 30 + -19x + x3 = 0 Solving 30 + -19x + x3 = 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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