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Simplifying -5x2 + -18x + -35 = 0 Reorder the terms: -35 + -18x + -5x2 = 0 Solving -35 + -18x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(35 + 18x + 5x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(35 + 18x + 5x2)' equal to zero and attempt to solve: Simplifying 35 + 18x + 5x2 = 0 Solving 35 + 18x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 7 + 3.6x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + 3.6x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 3.6x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3.6x + x2 = 0 + -7 3.6x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 3.6x + x2 = -7 The x term is 3.6x. Take half its coefficient (1.8). Square it (3.24) and add it to both sides. Add '3.24' to each side of the equation. 3.6x + 3.24 + x2 = -7 + 3.24 Reorder the terms: 3.24 + 3.6x + x2 = -7 + 3.24 Combine like terms: -7 + 3.24 = -3.76 3.24 + 3.6x + x2 = -3.76 Factor a perfect square on the left side: (x + 1.8)(x + 1.8) = -3.76 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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