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Simplifying X(2x2 + 9x + -56)(3x + 10) = 0 Reorder the terms: X(-56 + 9x + 2x2)(3x + 10) = 0 Reorder the terms: X(-56 + 9x + 2x2)(10 + 3x) = 0 Multiply (-56 + 9x + 2x2) * (10 + 3x) X(-56(10 + 3x) + 9x * (10 + 3x) + 2x2 * (10 + 3x)) = 0 X((10 * -56 + 3x * -56) + 9x * (10 + 3x) + 2x2 * (10 + 3x)) = 0 X((-560 + -168x) + 9x * (10 + 3x) + 2x2 * (10 + 3x)) = 0 X(-560 + -168x + (10 * 9x + 3x * 9x) + 2x2 * (10 + 3x)) = 0 X(-560 + -168x + (90x + 27x2) + 2x2 * (10 + 3x)) = 0 X(-560 + -168x + 90x + 27x2 + (10 * 2x2 + 3x * 2x2)) = 0 X(-560 + -168x + 90x + 27x2 + (20x2 + 6x3)) = 0 Combine like terms: -168x + 90x = -78x X(-560 + -78x + 27x2 + 20x2 + 6x3) = 0 Combine like terms: 27x2 + 20x2 = 47x2 X(-560 + -78x + 47x2 + 6x3) = 0 (-560 * X + -78x * X + 47x2 * X + 6x3 * X) = 0 (-560X + -78xX + 47x2X + 6x3X) = 0 Solving -560X + -78xX + 47x2X + 6x3X = 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(-560 + -78x + 47x2 + 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 '(-560 + -78x + 47x2 + 6x3)' equal to zero and attempt to solve: Simplifying -560 + -78x + 47x2 + 6x3 = 0 Solving -560 + -78x + 47x2 + 6x3 = 0 Move all terms containing X to the left, all other terms to the right. Add '560' to each side of the equation. -560 + -78x + 47x2 + 560 + 6x3 = 0 + 560 Reorder the terms: -560 + 560 + -78x + 47x2 + 6x3 = 0 + 560 Combine like terms: -560 + 560 = 0 0 + -78x + 47x2 + 6x3 = 0 + 560 -78x + 47x2 + 6x3 = 0 + 560 Combine like terms: 0 + 560 = 560 -78x + 47x2 + 6x3 = 560 Add '78x' to each side of the equation. -78x + 47x2 + 78x + 6x3 = 560 + 78x Reorder the terms: -78x + 78x + 47x2 + 6x3 = 560 + 78x Combine like terms: -78x + 78x = 0 0 + 47x2 + 6x3 = 560 + 78x 47x2 + 6x3 = 560 + 78x Add '-47x2' to each side of the equation. 47x2 + -47x2 + 6x3 = 560 + 78x + -47x2 Combine like terms: 47x2 + -47x2 = 0 0 + 6x3 = 560 + 78x + -47x2 6x3 = 560 + 78x + -47x2 Add '-6x3' to each side of the equation. 6x3 + -6x3 = 560 + 78x + -47x2 + -6x3 Combine like terms: 6x3 + -6x3 = 0 0 = 560 + 78x + -47x2 + -6x3 Simplifying 0 = 560 + 78x + -47x2 + -6x3 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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