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Simplifying 3x2 + -5x + -1 + -8x2 + 2x + -9 = 0 Reorder the terms: -1 + -9 + -5x + 2x + 3x2 + -8x2 = 0 Combine like terms: -1 + -9 = -10 -10 + -5x + 2x + 3x2 + -8x2 = 0 Combine like terms: -5x + 2x = -3x -10 + -3x + 3x2 + -8x2 = 0 Combine like terms: 3x2 + -8x2 = -5x2 -10 + -3x + -5x2 = 0 Solving -10 + -3x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 3x + 5x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + 3x + 5x2)' equal to zero and attempt to solve: Simplifying 10 + 3x + 5x2 = 0 Solving 10 + 3x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2 + 0.6x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 0.6x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 0.6x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.6x + x2 = 0 + -2 0.6x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 0.6x + x2 = -2 The x term is 0.6x. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6x + 0.09 + x2 = -2 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -2 + 0.09 Combine like terms: -2 + 0.09 = -1.91 0.09 + 0.6x + x2 = -1.91 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -1.91 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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