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Simplifying X(5x + -7) + x(4x + -2) = (9x + 9)(x + -3) Reorder the terms: X(-7 + 5x) + x(4x + -2) = (9x + 9)(x + -3) (-7 * X + 5x * X) + x(4x + -2) = (9x + 9)(x + -3) (-7X + 5xX) + x(4x + -2) = (9x + 9)(x + -3) Reorder the terms: -7X + 5xX + x(-2 + 4x) = (9x + 9)(x + -3) -7X + 5xX + (-2 * x + 4x * x) = (9x + 9)(x + -3) -7X + 5xX + (-2x + 4x2) = (9x + 9)(x + -3) Reorder the terms: -7X + -2x + 5xX + 4x2 = (9x + 9)(x + -3) Reorder the terms: -7X + -2x + 5xX + 4x2 = (9 + 9x)(x + -3) Reorder the terms: -7X + -2x + 5xX + 4x2 = (9 + 9x)(-3 + x) Multiply (9 + 9x) * (-3 + x) -7X + -2x + 5xX + 4x2 = (9(-3 + x) + 9x * (-3 + x)) -7X + -2x + 5xX + 4x2 = ((-3 * 9 + x * 9) + 9x * (-3 + x)) -7X + -2x + 5xX + 4x2 = ((-27 + 9x) + 9x * (-3 + x)) -7X + -2x + 5xX + 4x2 = (-27 + 9x + (-3 * 9x + x * 9x)) -7X + -2x + 5xX + 4x2 = (-27 + 9x + (-27x + 9x2)) Combine like terms: 9x + -27x = -18x -7X + -2x + 5xX + 4x2 = (-27 + -18x + 9x2) Solving -7X + -2x + 5xX + 4x2 = -27 + -18x + 9x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2x' to each side of the equation. -7X + -2x + 5xX + 2x + 4x2 = -27 + -18x + 2x + 9x2 Reorder the terms: -7X + -2x + 2x + 5xX + 4x2 = -27 + -18x + 2x + 9x2 Combine like terms: -2x + 2x = 0 -7X + 0 + 5xX + 4x2 = -27 + -18x + 2x + 9x2 -7X + 5xX + 4x2 = -27 + -18x + 2x + 9x2 Combine like terms: -18x + 2x = -16x -7X + 5xX + 4x2 = -27 + -16x + 9x2 Add '-4x2' to each side of the equation. -7X + 5xX + 4x2 + -4x2 = -27 + -16x + 9x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -7X + 5xX + 0 = -27 + -16x + 9x2 + -4x2 -7X + 5xX = -27 + -16x + 9x2 + -4x2 Combine like terms: 9x2 + -4x2 = 5x2 -7X + 5xX = -27 + -16x + 5x2 Reorder the terms: 27 + -7X + 16x + 5xX + -5x2 = -27 + -16x + 5x2 + 27 + 16x + -5x2 Reorder the terms: 27 + -7X + 16x + 5xX + -5x2 = -27 + 27 + -16x + 16x + 5x2 + -5x2 Combine like terms: -27 + 27 = 0 27 + -7X + 16x + 5xX + -5x2 = 0 + -16x + 16x + 5x2 + -5x2 27 + -7X + 16x + 5xX + -5x2 = -16x + 16x + 5x2 + -5x2 Combine like terms: -16x + 16x = 0 27 + -7X + 16x + 5xX + -5x2 = 0 + 5x2 + -5x2 27 + -7X + 16x + 5xX + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 27 + -7X + 16x + 5xX + -5x2 = 0 The solution to this equation could not be determined.
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