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Simplifying -9x2 + -4x + -45 = 0 Reorder the terms: -45 + -4x + -9x2 = 0 Solving -45 + -4x + -9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(45 + 4x + 9x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(45 + 4x + 9x2)' equal to zero and attempt to solve: Simplifying 45 + 4x + 9x2 = 0 Solving 45 + 4x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 5 + 0.4444444444x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + 0.4444444444x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 0.4444444444x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 0.4444444444x + x2 = 0 + -5 0.4444444444x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 0.4444444444x + x2 = -5 The x term is 0.4444444444x. Take half its coefficient (0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. 0.4444444444x + 0.04938271604 + x2 = -5 + 0.04938271604 Reorder the terms: 0.04938271604 + 0.4444444444x + x2 = -5 + 0.04938271604 Combine like terms: -5 + 0.04938271604 = -4.95061728396 0.04938271604 + 0.4444444444x + x2 = -4.95061728396 Factor a perfect square on the left side: (x + 0.2222222222)(x + 0.2222222222) = -4.95061728396 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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