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Simplifying (x2 + -7x + -5) + -1(8x2 + -2x + -4) = 0 Reorder the terms: (-5 + -7x + x2) + -1(8x2 + -2x + -4) = 0 Remove parenthesis around (-5 + -7x + x2) -5 + -7x + x2 + -1(8x2 + -2x + -4) = 0 Reorder the terms: -5 + -7x + x2 + -1(-4 + -2x + 8x2) = 0 -5 + -7x + x2 + (-4 * -1 + -2x * -1 + 8x2 * -1) = 0 -5 + -7x + x2 + (4 + 2x + -8x2) = 0 Reorder the terms: -5 + 4 + -7x + 2x + x2 + -8x2 = 0 Combine like terms: -5 + 4 = -1 -1 + -7x + 2x + x2 + -8x2 = 0 Combine like terms: -7x + 2x = -5x -1 + -5x + x2 + -8x2 = 0 Combine like terms: x2 + -8x2 = -7x2 -1 + -5x + -7x2 = 0 Solving -1 + -5x + -7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 5x + 7x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 5x + 7x2)' equal to zero and attempt to solve: Simplifying 1 + 5x + 7x2 = 0 Solving 1 + 5x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.1428571429 + 0.7142857143x + x2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + 0.7142857143x + -0.1428571429 + x2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + 0.7142857143x + x2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + 0.7142857143x + x2 = 0 + -0.1428571429 0.7142857143x + x2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 0.7142857143x + x2 = -0.1428571429 The x term is 0.7142857143x. Take half its coefficient (0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. 0.7142857143x + 0.1275510204 + x2 = -0.1428571429 + 0.1275510204 Reorder the terms: 0.1275510204 + 0.7142857143x + x2 = -0.1428571429 + 0.1275510204 Combine like terms: -0.1428571429 + 0.1275510204 = -0.0153061225 0.1275510204 + 0.7142857143x + x2 = -0.0153061225 Factor a perfect square on the left side: (x + 0.3571428572)(x + 0.3571428572) = -0.0153061225 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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