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Simplifying -20x2 + -14x + -7 = 0 Reorder the terms: -7 + -14x + -20x2 = 0 Solving -7 + -14x + -20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 14x + 20x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 14x + 20x2)' equal to zero and attempt to solve: Simplifying 7 + 14x + 20x2 = 0 Solving 7 + 14x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.35 + 0.7x + x2 = 0.0 Move the constant term to the right: Add '-0.35' to each side of the equation. 0.35 + 0.7x + -0.35 + x2 = 0.0 + -0.35 Reorder the terms: 0.35 + -0.35 + 0.7x + x2 = 0.0 + -0.35 Combine like terms: 0.35 + -0.35 = 0.00 0.00 + 0.7x + x2 = 0.0 + -0.35 0.7x + x2 = 0.0 + -0.35 Combine like terms: 0.0 + -0.35 = -0.35 0.7x + x2 = -0.35 The x term is 0.7x. Take half its coefficient (0.35). Square it (0.1225) and add it to both sides. Add '0.1225' to each side of the equation. 0.7x + 0.1225 + x2 = -0.35 + 0.1225 Reorder the terms: 0.1225 + 0.7x + x2 = -0.35 + 0.1225 Combine like terms: -0.35 + 0.1225 = -0.2275 0.1225 + 0.7x + x2 = -0.2275 Factor a perfect square on the left side: (x + 0.35)(x + 0.35) = -0.2275 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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