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Simplifying X(3x + -9) = (3x + 9)(x + -7) Reorder the terms: X(-9 + 3x) = (3x + 9)(x + -7) (-9 * X + 3x * X) = (3x + 9)(x + -7) (-9X + 3xX) = (3x + 9)(x + -7) Reorder the terms: -9X + 3xX = (9 + 3x)(x + -7) Reorder the terms: -9X + 3xX = (9 + 3x)(-7 + x) Multiply (9 + 3x) * (-7 + x) -9X + 3xX = (9(-7 + x) + 3x * (-7 + x)) -9X + 3xX = ((-7 * 9 + x * 9) + 3x * (-7 + x)) -9X + 3xX = ((-63 + 9x) + 3x * (-7 + x)) -9X + 3xX = (-63 + 9x + (-7 * 3x + x * 3x)) -9X + 3xX = (-63 + 9x + (-21x + 3x2)) Combine like terms: 9x + -21x = -12x -9X + 3xX = (-63 + -12x + 3x2) Solving -9X + 3xX = -63 + -12x + 3x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 63 + -9X + 12x + 3xX + -3x2 = -63 + -12x + 3x2 + 63 + 12x + -3x2 Reorder the terms: 63 + -9X + 12x + 3xX + -3x2 = -63 + 63 + -12x + 12x + 3x2 + -3x2 Combine like terms: -63 + 63 = 0 63 + -9X + 12x + 3xX + -3x2 = 0 + -12x + 12x + 3x2 + -3x2 63 + -9X + 12x + 3xX + -3x2 = -12x + 12x + 3x2 + -3x2 Combine like terms: -12x + 12x = 0 63 + -9X + 12x + 3xX + -3x2 = 0 + 3x2 + -3x2 63 + -9X + 12x + 3xX + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 63 + -9X + 12x + 3xX + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(21 + -3X + 4x + xX + -1x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(21 + -3X + 4x + xX + -1x2)' equal to zero and attempt to solve: Simplifying 21 + -3X + 4x + xX + -1x2 = 0 Solving 21 + -3X + 4x + xX + -1x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -3X + 4x + xX + -21 + -1x2 = 0 + -21 Reorder the terms: 21 + -21 + -3X + 4x + xX + -1x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -3X + 4x + xX + -1x2 = 0 + -21 -3X + 4x + xX + -1x2 = 0 + -21 Combine like terms: 0 + -21 = -21 -3X + 4x + xX + -1x2 = -21 Add '-4x' to each side of the equation. -3X + 4x + xX + -4x + -1x2 = -21 + -4x Reorder the terms: -3X + 4x + -4x + xX + -1x2 = -21 + -4x Combine like terms: 4x + -4x = 0 -3X + 0 + xX + -1x2 = -21 + -4x -3X + xX + -1x2 = -21 + -4x Add 'x2' to each side of the equation. -3X + xX + -1x2 + x2 = -21 + -4x + x2 Combine like terms: -1x2 + x2 = 0 -3X + xX + 0 = -21 + -4x + x2 -3X + xX = -21 + -4x + x2 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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