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Simplifying -14x2 + -9x + -10 = 0 Reorder the terms: -10 + -9x + -14x2 = 0 Solving -10 + -9x + -14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 9x + 14x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + 9x + 14x2)' equal to zero and attempt to solve: Simplifying 10 + 9x + 14x2 = 0 Solving 10 + 9x + 14x2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.7142857143 + 0.6428571429x + x2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + 0.6428571429x + -0.7142857143 + x2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + 0.6428571429x + x2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + 0.6428571429x + x2 = 0 + -0.7142857143 0.6428571429x + x2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 0.6428571429x + x2 = -0.7142857143 The x term is 0.6428571429x. Take half its coefficient (0.3214285715). Square it (0.1033163266) and add it to both sides. Add '0.1033163266' to each side of the equation. 0.6428571429x + 0.1033163266 + x2 = -0.7142857143 + 0.1033163266 Reorder the terms: 0.1033163266 + 0.6428571429x + x2 = -0.7142857143 + 0.1033163266 Combine like terms: -0.7142857143 + 0.1033163266 = -0.6109693877 0.1033163266 + 0.6428571429x + x2 = -0.6109693877 Factor a perfect square on the left side: (x + 0.3214285715)(x + 0.3214285715) = -0.6109693877 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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