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Simplifying -5x2 + -14x + -18 = 0 Reorder the terms: -18 + -14x + -5x2 = 0 Solving -18 + -14x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(18 + 14x + 5x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(18 + 14x + 5x2)' equal to zero and attempt to solve: Simplifying 18 + 14x + 5x2 = 0 Solving 18 + 14x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3.6 + 2.8x + x2 = 0 Move the constant term to the right: Add '-3.6' to each side of the equation. 3.6 + 2.8x + -3.6 + x2 = 0 + -3.6 Reorder the terms: 3.6 + -3.6 + 2.8x + x2 = 0 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 2.8x + x2 = 0 + -3.6 2.8x + x2 = 0 + -3.6 Combine like terms: 0 + -3.6 = -3.6 2.8x + x2 = -3.6 The x term is 2.8x. Take half its coefficient (1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. 2.8x + 1.96 + x2 = -3.6 + 1.96 Reorder the terms: 1.96 + 2.8x + x2 = -3.6 + 1.96 Combine like terms: -3.6 + 1.96 = -1.64 1.96 + 2.8x + x2 = -1.64 Factor a perfect square on the left side: (x + 1.4)(x + 1.4) = -1.64 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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