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Simplifying -12x2 + -13x + -25 = 0 Reorder the terms: -25 + -13x + -12x2 = 0 Solving -25 + -13x + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(25 + 13x + 12x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(25 + 13x + 12x2)' equal to zero and attempt to solve: Simplifying 25 + 13x + 12x2 = 0 Solving 25 + 13x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 2.083333333 + 1.083333333x + x2 = 0 Move the constant term to the right: Add '-2.083333333' to each side of the equation. 2.083333333 + 1.083333333x + -2.083333333 + x2 = 0 + -2.083333333 Reorder the terms: 2.083333333 + -2.083333333 + 1.083333333x + x2 = 0 + -2.083333333 Combine like terms: 2.083333333 + -2.083333333 = 0.000000000 0.000000000 + 1.083333333x + x2 = 0 + -2.083333333 1.083333333x + x2 = 0 + -2.083333333 Combine like terms: 0 + -2.083333333 = -2.083333333 1.083333333x + x2 = -2.083333333 The x term is 1.083333333x. Take half its coefficient (0.5416666665). Square it (0.2934027776) and add it to both sides. Add '0.2934027776' to each side of the equation. 1.083333333x + 0.2934027776 + x2 = -2.083333333 + 0.2934027776 Reorder the terms: 0.2934027776 + 1.083333333x + x2 = -2.083333333 + 0.2934027776 Combine like terms: -2.083333333 + 0.2934027776 = -1.7899305554 0.2934027776 + 1.083333333x + x2 = -1.7899305554 Factor a perfect square on the left side: (x + 0.5416666665)(x + 0.5416666665) = -1.7899305554 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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