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Simplifying -4x + -1x(8x + 1) = -1(2x + -10) Reorder the terms: -4x + -1x(1 + 8x) = -1(2x + -10) -4x + (1 * -1x + 8x * -1x) = -1(2x + -10) -4x + (-1x + -8x2) = -1(2x + -10) Combine like terms: -4x + -1x = -5x -5x + -8x2 = -1(2x + -10) Reorder the terms: -5x + -8x2 = -1(-10 + 2x) -5x + -8x2 = (-10 * -1 + 2x * -1) -5x + -8x2 = (10 + -2x) Solving -5x + -8x2 = 10 + -2x Solving for variable 'x'. Reorder the terms: -10 + -5x + 2x + -8x2 = 10 + -2x + -10 + 2x Combine like terms: -5x + 2x = -3x -10 + -3x + -8x2 = 10 + -2x + -10 + 2x Reorder the terms: -10 + -3x + -8x2 = 10 + -10 + -2x + 2x Combine like terms: 10 + -10 = 0 -10 + -3x + -8x2 = 0 + -2x + 2x -10 + -3x + -8x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -10 + -3x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 3x + 8x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + 3x + 8x2)' equal to zero and attempt to solve: Simplifying 10 + 3x + 8x2 = 0 Solving 10 + 3x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.25 + 0.375x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + 0.375x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + 0.375x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 0.375x + x2 = 0 + -1.25 0.375x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 0.375x + x2 = -1.25 The x term is 0.375x. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375x + 0.03515625 + x2 = -1.25 + 0.03515625 Reorder the terms: 0.03515625 + 0.375x + x2 = -1.25 + 0.03515625 Combine like terms: -1.25 + 0.03515625 = -1.21484375 0.03515625 + 0.375x + x2 = -1.21484375 Factor a perfect square on the left side: (x + 0.1875)(x + 0.1875) = -1.21484375 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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