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Simplifying -30 + -4x + -15x2 = 0 Solving -30 + -4x + -15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(30 + 4x + 15x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(30 + 4x + 15x2)' equal to zero and attempt to solve: Simplifying 30 + 4x + 15x2 = 0 Solving 30 + 4x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 2 + 0.2666666667x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 0.2666666667x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 0.2666666667x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.2666666667x + x2 = 0 + -2 0.2666666667x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 0.2666666667x + x2 = -2 The x term is 0.2666666667x. Take half its coefficient (0.1333333334). Square it (0.01777777780) and add it to both sides. Add '0.01777777780' to each side of the equation. 0.2666666667x + 0.01777777780 + x2 = -2 + 0.01777777780 Reorder the terms: 0.01777777780 + 0.2666666667x + x2 = -2 + 0.01777777780 Combine like terms: -2 + 0.01777777780 = -1.9822222222 0.01777777780 + 0.2666666667x + x2 = -1.9822222222 Factor a perfect square on the left side: (x + 0.1333333334)(x + 0.1333333334) = -1.9822222222 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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