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Simplifying (X + -30)(x + -30) + x(x + -30) + x = 540 Reorder the terms: (-30 + X)(x + -30) + x(x + -30) + x = 540 Reorder the terms: (-30 + X)(-30 + x) + x(x + -30) + x = 540 Multiply (-30 + X) * (-30 + x) (-30(-30 + x) + X(-30 + x)) + x(x + -30) + x = 540 ((-30 * -30 + x * -30) + X(-30 + x)) + x(x + -30) + x = 540 ((900 + -30x) + X(-30 + x)) + x(x + -30) + x = 540 (900 + -30x + (-30 * X + x * X)) + x(x + -30) + x = 540 (900 + -30x + (-30X + xX)) + x(x + -30) + x = 540 Reorder the terms: (900 + -30X + -30x + xX) + x(x + -30) + x = 540 (900 + -30X + -30x + xX) + x(x + -30) + x = 540 Reorder the terms: 900 + -30X + -30x + xX + x(-30 + x) + x = 540 900 + -30X + -30x + xX + (-30 * x + x * x) + x = 540 900 + -30X + -30x + xX + (-30x + x2) + x = 540 Reorder the terms: 900 + -30X + -30x + -30x + x + xX + x2 = 540 Combine like terms: -30x + -30x = -60x 900 + -30X + -60x + x + xX + x2 = 540 Combine like terms: -60x + x = -59x 900 + -30X + -59x + xX + x2 = 540 Solving 900 + -30X + -59x + xX + x2 = 540 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-900' to each side of the equation. 900 + -30X + -59x + xX + -900 + x2 = 540 + -900 Reorder the terms: 900 + -900 + -30X + -59x + xX + x2 = 540 + -900 Combine like terms: 900 + -900 = 0 0 + -30X + -59x + xX + x2 = 540 + -900 -30X + -59x + xX + x2 = 540 + -900 Combine like terms: 540 + -900 = -360 -30X + -59x + xX + x2 = -360 Add '59x' to each side of the equation. -30X + -59x + xX + 59x + x2 = -360 + 59x Reorder the terms: -30X + -59x + 59x + xX + x2 = -360 + 59x Combine like terms: -59x + 59x = 0 -30X + 0 + xX + x2 = -360 + 59x -30X + xX + x2 = -360 + 59x Add '-1x2' to each side of the equation. -30X + xX + x2 + -1x2 = -360 + 59x + -1x2 Combine like terms: x2 + -1x2 = 0 -30X + xX + 0 = -360 + 59x + -1x2 -30X + xX = -360 + 59x + -1x2 Reorder the terms: 360 + -30X + -59x + xX + x2 = -360 + 59x + -1x2 + 360 + -59x + x2 Reorder the terms: 360 + -30X + -59x + xX + x2 = -360 + 360 + 59x + -59x + -1x2 + x2 Combine like terms: -360 + 360 = 0 360 + -30X + -59x + xX + x2 = 0 + 59x + -59x + -1x2 + x2 360 + -30X + -59x + xX + x2 = 59x + -59x + -1x2 + x2 Combine like terms: 59x + -59x = 0 360 + -30X + -59x + xX + x2 = 0 + -1x2 + x2 360 + -30X + -59x + xX + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 360 + -30X + -59x + xX + x2 = 0 The solution to this equation could not be determined.
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