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Simplifying -10x2 + -9x + -3 = 0 Reorder the terms: -3 + -9x + -10x2 = 0 Solving -3 + -9x + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + 9x + 10x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 9x + 10x2)' equal to zero and attempt to solve: Simplifying 3 + 9x + 10x2 = 0 Solving 3 + 9x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.3 + 0.9x + x2 = 0.0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + 0.9x + -0.3 + x2 = 0.0 + -0.3 Reorder the terms: 0.3 + -0.3 + 0.9x + x2 = 0.0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.9x + x2 = 0.0 + -0.3 0.9x + x2 = 0.0 + -0.3 Combine like terms: 0.0 + -0.3 = -0.3 0.9x + x2 = -0.3 The x term is 0.9x. Take half its coefficient (0.45). Square it (0.2025) and add it to both sides. Add '0.2025' to each side of the equation. 0.9x + 0.2025 + x2 = -0.3 + 0.2025 Reorder the terms: 0.2025 + 0.9x + x2 = -0.3 + 0.2025 Combine like terms: -0.3 + 0.2025 = -0.0975 0.2025 + 0.9x + x2 = -0.0975 Factor a perfect square on the left side: (x + 0.45)(x + 0.45) = -0.0975 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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