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Simplifying 6x + -1(x2 + 8x + 5) + 4(-1x2 + -2) = 0 Reorder the terms: 6x + -1(5 + 8x + x2) + 4(-1x2 + -2) = 0 6x + (5 * -1 + 8x * -1 + x2 * -1) + 4(-1x2 + -2) = 0 6x + (-5 + -8x + -1x2) + 4(-1x2 + -2) = 0 Reorder the terms: 6x + -5 + -8x + -1x2 + 4(-2 + -1x2) = 0 6x + -5 + -8x + -1x2 + (-2 * 4 + -1x2 * 4) = 0 6x + -5 + -8x + -1x2 + (-8 + -4x2) = 0 Reorder the terms: -5 + -8 + 6x + -8x + -1x2 + -4x2 = 0 Combine like terms: -5 + -8 = -13 -13 + 6x + -8x + -1x2 + -4x2 = 0 Combine like terms: 6x + -8x = -2x -13 + -2x + -1x2 + -4x2 = 0 Combine like terms: -1x2 + -4x2 = -5x2 -13 + -2x + -5x2 = 0 Solving -13 + -2x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(13 + 2x + 5x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(13 + 2x + 5x2)' equal to zero and attempt to solve: Simplifying 13 + 2x + 5x2 = 0 Solving 13 + 2x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.6 + 0.4x + x2 = 0 Move the constant term to the right: Add '-2.6' to each side of the equation. 2.6 + 0.4x + -2.6 + x2 = 0 + -2.6 Reorder the terms: 2.6 + -2.6 + 0.4x + x2 = 0 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + 0.4x + x2 = 0 + -2.6 0.4x + x2 = 0 + -2.6 Combine like terms: 0 + -2.6 = -2.6 0.4x + x2 = -2.6 The x term is 0.4x. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4x + 0.04 + x2 = -2.6 + 0.04 Reorder the terms: 0.04 + 0.4x + x2 = -2.6 + 0.04 Combine like terms: -2.6 + 0.04 = -2.56 0.04 + 0.4x + x2 = -2.56 Factor a perfect square on the left side: (x + 0.2)(x + 0.2) = -2.56 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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