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Simplifying -5x2 + -2x + -7 = 0 Reorder the terms: -7 + -2x + -5x2 = 0 Solving -7 + -2x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 2x + 5x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 2x + 5x2)' equal to zero and attempt to solve: Simplifying 7 + 2x + 5x2 = 0 Solving 7 + 2x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.4 + 0.4x + x2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + 0.4x + -1.4 + x2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + 0.4x + x2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.4x + x2 = 0 + -1.4 0.4x + x2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 0.4x + x2 = -1.4 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 = -1.4 + 0.04 Reorder the terms: 0.04 + 0.4x + x2 = -1.4 + 0.04 Combine like terms: -1.4 + 0.04 = -1.36 0.04 + 0.4x + x2 = -1.36 Factor a perfect square on the left side: (x + 0.2)(x + 0.2) = -1.36 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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