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Simplifying 30x + -102x2 + -45 = 0 Reorder the terms: -45 + 30x + -102x2 = 0 Solving -45 + 30x + -102x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-15 + 10x + -34x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-15 + 10x + -34x2)' equal to zero and attempt to solve: Simplifying -15 + 10x + -34x2 = 0 Solving -15 + 10x + -34x2 = 0 Begin completing the square. Divide all terms by -34 the coefficient of the squared term: Divide each side by '-34'. 0.4411764706 + -0.2941176471x + x2 = 0 Move the constant term to the right: Add '-0.4411764706' to each side of the equation. 0.4411764706 + -0.2941176471x + -0.4411764706 + x2 = 0 + -0.4411764706 Reorder the terms: 0.4411764706 + -0.4411764706 + -0.2941176471x + x2 = 0 + -0.4411764706 Combine like terms: 0.4411764706 + -0.4411764706 = 0.0000000000 0.0000000000 + -0.2941176471x + x2 = 0 + -0.4411764706 -0.2941176471x + x2 = 0 + -0.4411764706 Combine like terms: 0 + -0.4411764706 = -0.4411764706 -0.2941176471x + x2 = -0.4411764706 The x term is -0.2941176471x. Take half its coefficient (-0.1470588236). Square it (0.02162629760) and add it to both sides. Add '0.02162629760' to each side of the equation. -0.2941176471x + 0.02162629760 + x2 = -0.4411764706 + 0.02162629760 Reorder the terms: 0.02162629760 + -0.2941176471x + x2 = -0.4411764706 + 0.02162629760 Combine like terms: -0.4411764706 + 0.02162629760 = -0.419550173 0.02162629760 + -0.2941176471x + x2 = -0.419550173 Factor a perfect square on the left side: (x + -0.1470588236)(x + -0.1470588236) = -0.419550173 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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