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Simplifying -28x2 + -7x + -10 = 0 Reorder the terms: -10 + -7x + -28x2 = 0 Solving -10 + -7x + -28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 7x + 28x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + 7x + 28x2)' equal to zero and attempt to solve: Simplifying 10 + 7x + 28x2 = 0 Solving 10 + 7x + 28x2 = 0 Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 0.3571428571 + 0.25x + x2 = 0 Move the constant term to the right: Add '-0.3571428571' to each side of the equation. 0.3571428571 + 0.25x + -0.3571428571 + x2 = 0 + -0.3571428571 Reorder the terms: 0.3571428571 + -0.3571428571 + 0.25x + x2 = 0 + -0.3571428571 Combine like terms: 0.3571428571 + -0.3571428571 = 0.0000000000 0.0000000000 + 0.25x + x2 = 0 + -0.3571428571 0.25x + x2 = 0 + -0.3571428571 Combine like terms: 0 + -0.3571428571 = -0.3571428571 0.25x + x2 = -0.3571428571 The x term is 0.25x. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25x + 0.015625 + x2 = -0.3571428571 + 0.015625 Reorder the terms: 0.015625 + 0.25x + x2 = -0.3571428571 + 0.015625 Combine like terms: -0.3571428571 + 0.015625 = -0.3415178571 0.015625 + 0.25x + x2 = -0.3415178571 Factor a perfect square on the left side: (x + 0.125)(x + 0.125) = -0.3415178571 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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