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Simplifying -1x(x + -21) + 3(x + 3) = 9x + 603 Reorder the terms: -1x(-21 + x) + 3(x + 3) = 9x + 603 (-21 * -1x + x * -1x) + 3(x + 3) = 9x + 603 (21x + -1x2) + 3(x + 3) = 9x + 603 Reorder the terms: 21x + -1x2 + 3(3 + x) = 9x + 603 21x + -1x2 + (3 * 3 + x * 3) = 9x + 603 21x + -1x2 + (9 + 3x) = 9x + 603 Reorder the terms: 9 + 21x + 3x + -1x2 = 9x + 603 Combine like terms: 21x + 3x = 24x 9 + 24x + -1x2 = 9x + 603 Reorder the terms: 9 + 24x + -1x2 = 603 + 9x Solving 9 + 24x + -1x2 = 603 + 9x Solving for variable 'x'. Reorder the terms: 9 + -603 + 24x + -9x + -1x2 = 603 + 9x + -603 + -9x Combine like terms: 9 + -603 = -594 -594 + 24x + -9x + -1x2 = 603 + 9x + -603 + -9x Combine like terms: 24x + -9x = 15x -594 + 15x + -1x2 = 603 + 9x + -603 + -9x Reorder the terms: -594 + 15x + -1x2 = 603 + -603 + 9x + -9x Combine like terms: 603 + -603 = 0 -594 + 15x + -1x2 = 0 + 9x + -9x -594 + 15x + -1x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -594 + 15x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 594 + -15x + x2 = 0 Move the constant term to the right: Add '-594' to each side of the equation. 594 + -15x + -594 + x2 = 0 + -594 Reorder the terms: 594 + -594 + -15x + x2 = 0 + -594 Combine like terms: 594 + -594 = 0 0 + -15x + x2 = 0 + -594 -15x + x2 = 0 + -594 Combine like terms: 0 + -594 = -594 -15x + x2 = -594 The x term is -15x. Take half its coefficient (-7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. -15x + 56.25 + x2 = -594 + 56.25 Reorder the terms: 56.25 + -15x + x2 = -594 + 56.25 Combine like terms: -594 + 56.25 = -537.75 56.25 + -15x + x2 = -537.75 Factor a perfect square on the left side: (x + -7.5)(x + -7.5) = -537.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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