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Simplifying (2x + 3)(2x + 5)(x + -1)(x + -2) = 30 Reorder the terms: (3 + 2x)(2x + 5)(x + -1)(x + -2) = 30 Reorder the terms: (3 + 2x)(5 + 2x)(x + -1)(x + -2) = 30 Reorder the terms: (3 + 2x)(5 + 2x)(-1 + x)(x + -2) = 30 Reorder the terms: (3 + 2x)(5 + 2x)(-1 + x)(-2 + x) = 30 Multiply (3 + 2x) * (5 + 2x) (3(5 + 2x) + 2x * (5 + 2x))(-1 + x)(-2 + x) = 30 ((5 * 3 + 2x * 3) + 2x * (5 + 2x))(-1 + x)(-2 + x) = 30 ((15 + 6x) + 2x * (5 + 2x))(-1 + x)(-2 + x) = 30 (15 + 6x + (5 * 2x + 2x * 2x))(-1 + x)(-2 + x) = 30 (15 + 6x + (10x + 4x2))(-1 + x)(-2 + x) = 30 Combine like terms: 6x + 10x = 16x (15 + 16x + 4x2)(-1 + x)(-2 + x) = 30 Multiply (15 + 16x + 4x2) * (-1 + x) (15(-1 + x) + 16x * (-1 + x) + 4x2 * (-1 + x))(-2 + x) = 30 ((-1 * 15 + x * 15) + 16x * (-1 + x) + 4x2 * (-1 + x))(-2 + x) = 30 ((-15 + 15x) + 16x * (-1 + x) + 4x2 * (-1 + x))(-2 + x) = 30 (-15 + 15x + (-1 * 16x + x * 16x) + 4x2 * (-1 + x))(-2 + x) = 30 (-15 + 15x + (-16x + 16x2) + 4x2 * (-1 + x))(-2 + x) = 30 (-15 + 15x + -16x + 16x2 + (-1 * 4x2 + x * 4x2))(-2 + x) = 30 (-15 + 15x + -16x + 16x2 + (-4x2 + 4x3))(-2 + x) = 30 Combine like terms: 15x + -16x = -1x (-15 + -1x + 16x2 + -4x2 + 4x3)(-2 + x) = 30 Combine like terms: 16x2 + -4x2 = 12x2 (-15 + -1x + 12x2 + 4x3)(-2 + x) = 30 Multiply (-15 + -1x + 12x2 + 4x3) * (-2 + x) (-15(-2 + x) + -1x * (-2 + x) + 12x2 * (-2 + x) + 4x3 * (-2 + x)) = 30 ((-2 * -15 + x * -15) + -1x * (-2 + x) + 12x2 * (-2 + x) + 4x3 * (-2 + x)) = 30 ((30 + -15x) + -1x * (-2 + x) + 12x2 * (-2 + x) + 4x3 * (-2 + x)) = 30 (30 + -15x + (-2 * -1x + x * -1x) + 12x2 * (-2 + x) + 4x3 * (-2 + x)) = 30 (30 + -15x + (2x + -1x2) + 12x2 * (-2 + x) + 4x3 * (-2 + x)) = 30 (30 + -15x + 2x + -1x2 + (-2 * 12x2 + x * 12x2) + 4x3 * (-2 + x)) = 30 (30 + -15x + 2x + -1x2 + (-24x2 + 12x3) + 4x3 * (-2 + x)) = 30 (30 + -15x + 2x + -1x2 + -24x2 + 12x3 + (-2 * 4x3 + x * 4x3)) = 30 (30 + -15x + 2x + -1x2 + -24x2 + 12x3 + (-8x3 + 4x4)) = 30 Combine like terms: -15x + 2x = -13x (30 + -13x + -1x2 + -24x2 + 12x3 + -8x3 + 4x4) = 30 Combine like terms: -1x2 + -24x2 = -25x2 (30 + -13x + -25x2 + 12x3 + -8x3 + 4x4) = 30 Combine like terms: 12x3 + -8x3 = 4x3 (30 + -13x + -25x2 + 4x3 + 4x4) = 30 Add '-30' to each side of the equation. 30 + -13x + -25x2 + 4x3 + -30 + 4x4 = 30 + -30 Reorder the terms: 30 + -30 + -13x + -25x2 + 4x3 + 4x4 = 30 + -30 Combine like terms: 30 + -30 = 0 0 + -13x + -25x2 + 4x3 + 4x4 = 30 + -30 -13x + -25x2 + 4x3 + 4x4 = 30 + -30 Combine like terms: 30 + -30 = 0 -13x + -25x2 + 4x3 + 4x4 = 0 Solving -13x + -25x2 + 4x3 + 4x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + -25x + 4x2 + 4x3) = 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 '(-13 + -25x + 4x2 + 4x3)' equal to zero and attempt to solve: Simplifying -13 + -25x + 4x2 + 4x3 = 0 Solving -13 + -25x + 4x2 + 4x3 = 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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