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Simplifying (7x2 + -8x + -1) + (2x2 + -5x + 9) + -1(x2 + -5x + -4) = 0 Reorder the terms: (-1 + -8x + 7x2) + (2x2 + -5x + 9) + -1(x2 + -5x + -4) = 0 Remove parenthesis around (-1 + -8x + 7x2) -1 + -8x + 7x2 + (2x2 + -5x + 9) + -1(x2 + -5x + -4) = 0 Reorder the terms: -1 + -8x + 7x2 + (9 + -5x + 2x2) + -1(x2 + -5x + -4) = 0 Remove parenthesis around (9 + -5x + 2x2) -1 + -8x + 7x2 + 9 + -5x + 2x2 + -1(x2 + -5x + -4) = 0 Reorder the terms: -1 + -8x + 7x2 + 9 + -5x + 2x2 + -1(-4 + -5x + x2) = 0 -1 + -8x + 7x2 + 9 + -5x + 2x2 + (-4 * -1 + -5x * -1 + x2 * -1) = 0 -1 + -8x + 7x2 + 9 + -5x + 2x2 + (4 + 5x + -1x2) = 0 Reorder the terms: -1 + 9 + 4 + -8x + -5x + 5x + 7x2 + 2x2 + -1x2 = 0 Combine like terms: -1 + 9 = 8 8 + 4 + -8x + -5x + 5x + 7x2 + 2x2 + -1x2 = 0 Combine like terms: 8 + 4 = 12 12 + -8x + -5x + 5x + 7x2 + 2x2 + -1x2 = 0 Combine like terms: -8x + -5x = -13x 12 + -13x + 5x + 7x2 + 2x2 + -1x2 = 0 Combine like terms: -13x + 5x = -8x 12 + -8x + 7x2 + 2x2 + -1x2 = 0 Combine like terms: 7x2 + 2x2 = 9x2 12 + -8x + 9x2 + -1x2 = 0 Combine like terms: 9x2 + -1x2 = 8x2 12 + -8x + 8x2 = 0 Solving 12 + -8x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(3 + -2x + 2x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -2x + 2x2)' equal to zero and attempt to solve: Simplifying 3 + -2x + 2x2 = 0 Solving 3 + -2x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + -1x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -1x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -1x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1x + x2 = 0 + -1.5 -1x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -1x + x2 = -1.5 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -1.5 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.5 + 0.25 Combine like terms: -1.5 + 0.25 = -1.25 0.25 + -1x + x2 = -1.25 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1.25 Can't calculate square root of the right side. 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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