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Simplifying X(x + -4)(x + 7)(2x + -9) = 0 Reorder the terms: X(-4 + x)(x + 7)(2x + -9) = 0 Reorder the terms: X(-4 + x)(7 + x)(2x + -9) = 0 Reorder the terms: X(-4 + x)(7 + x)(-9 + 2x) = 0 Multiply (-4 + x) * (7 + x) X(-4(7 + x) + x(7 + x))(-9 + 2x) = 0 X((7 * -4 + x * -4) + x(7 + x))(-9 + 2x) = 0 X((-28 + -4x) + x(7 + x))(-9 + 2x) = 0 X(-28 + -4x + (7 * x + x * x))(-9 + 2x) = 0 X(-28 + -4x + (7x + x2))(-9 + 2x) = 0 Combine like terms: -4x + 7x = 3x X(-28 + 3x + x2)(-9 + 2x) = 0 Multiply (-28 + 3x + x2) * (-9 + 2x) X(-28(-9 + 2x) + 3x * (-9 + 2x) + x2(-9 + 2x)) = 0 X((-9 * -28 + 2x * -28) + 3x * (-9 + 2x) + x2(-9 + 2x)) = 0 X((252 + -56x) + 3x * (-9 + 2x) + x2(-9 + 2x)) = 0 X(252 + -56x + (-9 * 3x + 2x * 3x) + x2(-9 + 2x)) = 0 X(252 + -56x + (-27x + 6x2) + x2(-9 + 2x)) = 0 X(252 + -56x + -27x + 6x2 + (-9 * x2 + 2x * x2)) = 0 X(252 + -56x + -27x + 6x2 + (-9x2 + 2x3)) = 0 Combine like terms: -56x + -27x = -83x X(252 + -83x + 6x2 + -9x2 + 2x3) = 0 Combine like terms: 6x2 + -9x2 = -3x2 X(252 + -83x + -3x2 + 2x3) = 0 (252 * X + -83x * X + -3x2 * X + 2x3 * X) = 0 (252X + -83xX + -3x2X + 2x3X) = 0 Solving 252X + -83xX + -3x2X + 2x3X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'X'. X(252 + -83x + -3x2 + 2x3) = 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 '(252 + -83x + -3x2 + 2x3)' equal to zero and attempt to solve: Simplifying 252 + -83x + -3x2 + 2x3 = 0 Solving 252 + -83x + -3x2 + 2x3 = 0 Move all terms containing X to the left, all other terms to the right. Add '-252' to each side of the equation. 252 + -83x + -3x2 + -252 + 2x3 = 0 + -252 Reorder the terms: 252 + -252 + -83x + -3x2 + 2x3 = 0 + -252 Combine like terms: 252 + -252 = 0 0 + -83x + -3x2 + 2x3 = 0 + -252 -83x + -3x2 + 2x3 = 0 + -252 Combine like terms: 0 + -252 = -252 -83x + -3x2 + 2x3 = -252 Add '83x' to each side of the equation. -83x + -3x2 + 83x + 2x3 = -252 + 83x Reorder the terms: -83x + 83x + -3x2 + 2x3 = -252 + 83x Combine like terms: -83x + 83x = 0 0 + -3x2 + 2x3 = -252 + 83x -3x2 + 2x3 = -252 + 83x Add '3x2' to each side of the equation. -3x2 + 3x2 + 2x3 = -252 + 83x + 3x2 Combine like terms: -3x2 + 3x2 = 0 0 + 2x3 = -252 + 83x + 3x2 2x3 = -252 + 83x + 3x2 Add '-2x3' to each side of the equation. 2x3 + -2x3 = -252 + 83x + 3x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 = -252 + 83x + 3x2 + -2x3 Simplifying 0 = -252 + 83x + 3x2 + -2x3 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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