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Simplifying X(4x + -6) = x(4x + -20) + -56 Reorder the terms: X(-6 + 4x) = x(4x + -20) + -56 (-6 * X + 4x * X) = x(4x + -20) + -56 (-6X + 4xX) = x(4x + -20) + -56 Reorder the terms: -6X + 4xX = x(-20 + 4x) + -56 -6X + 4xX = (-20 * x + 4x * x) + -56 -6X + 4xX = (-20x + 4x2) + -56 Reorder the terms: -6X + 4xX = -56 + -20x + 4x2 Solving -6X + 4xX = -56 + -20x + 4x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 56 + -6X + 20x + 4xX + -4x2 = -56 + -20x + 4x2 + 56 + 20x + -4x2 Reorder the terms: 56 + -6X + 20x + 4xX + -4x2 = -56 + 56 + -20x + 20x + 4x2 + -4x2 Combine like terms: -56 + 56 = 0 56 + -6X + 20x + 4xX + -4x2 = 0 + -20x + 20x + 4x2 + -4x2 56 + -6X + 20x + 4xX + -4x2 = -20x + 20x + 4x2 + -4x2 Combine like terms: -20x + 20x = 0 56 + -6X + 20x + 4xX + -4x2 = 0 + 4x2 + -4x2 56 + -6X + 20x + 4xX + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 56 + -6X + 20x + 4xX + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(28 + -3X + 10x + 2xX + -2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(28 + -3X + 10x + 2xX + -2x2)' equal to zero and attempt to solve: Simplifying 28 + -3X + 10x + 2xX + -2x2 = 0 Solving 28 + -3X + 10x + 2xX + -2x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -3X + 10x + 2xX + -28 + -2x2 = 0 + -28 Reorder the terms: 28 + -28 + -3X + 10x + 2xX + -2x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -3X + 10x + 2xX + -2x2 = 0 + -28 -3X + 10x + 2xX + -2x2 = 0 + -28 Combine like terms: 0 + -28 = -28 -3X + 10x + 2xX + -2x2 = -28 Add '-10x' to each side of the equation. -3X + 10x + 2xX + -10x + -2x2 = -28 + -10x Reorder the terms: -3X + 10x + -10x + 2xX + -2x2 = -28 + -10x Combine like terms: 10x + -10x = 0 -3X + 0 + 2xX + -2x2 = -28 + -10x -3X + 2xX + -2x2 = -28 + -10x Add '2x2' to each side of the equation. -3X + 2xX + -2x2 + 2x2 = -28 + -10x + 2x2 Combine like terms: -2x2 + 2x2 = 0 -3X + 2xX + 0 = -28 + -10x + 2x2 -3X + 2xX = -28 + -10x + 2x2 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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