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Simplifying X2 + 3x + -6 = 4x2 + 36 + -24x Reorder the terms: -6 + X2 + 3x = 4x2 + 36 + -24x Reorder the terms: -6 + X2 + 3x = 36 + -24x + 4x2 Solving -6 + X2 + 3x = 36 + -24x + 4x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + X2 + 6 + 3x = 36 + -24x + 6 + 4x2 Reorder the terms: -6 + 6 + X2 + 3x = 36 + -24x + 6 + 4x2 Combine like terms: -6 + 6 = 0 0 + X2 + 3x = 36 + -24x + 6 + 4x2 X2 + 3x = 36 + -24x + 6 + 4x2 Reorder the terms: X2 + 3x = 36 + 6 + -24x + 4x2 Combine like terms: 36 + 6 = 42 X2 + 3x = 42 + -24x + 4x2 Add '-3x' to each side of the equation. X2 + 3x + -3x = 42 + -24x + -3x + 4x2 Combine like terms: 3x + -3x = 0 X2 + 0 = 42 + -24x + -3x + 4x2 X2 = 42 + -24x + -3x + 4x2 Combine like terms: -24x + -3x = -27x X2 = 42 + -27x + 4x2 Simplifying X2 = 42 + -27x + 4x2 Reorder the terms: -42 + X2 + 27x + -4x2 = 42 + -27x + 4x2 + -42 + 27x + -4x2 Reorder the terms: -42 + X2 + 27x + -4x2 = 42 + -42 + -27x + 27x + 4x2 + -4x2 Combine like terms: 42 + -42 = 0 -42 + X2 + 27x + -4x2 = 0 + -27x + 27x + 4x2 + -4x2 -42 + X2 + 27x + -4x2 = -27x + 27x + 4x2 + -4x2 Combine like terms: -27x + 27x = 0 -42 + X2 + 27x + -4x2 = 0 + 4x2 + -4x2 -42 + X2 + 27x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -42 + X2 + 27x + -4x2 = 0 The solution to this equation could not be determined.
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