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Simplifying -60x2 + 16x + -12 = 0 Reorder the terms: -12 + 16x + -60x2 = 0 Solving -12 + 16x + -60x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + 4x + -15x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + 4x + -15x2)' equal to zero and attempt to solve: Simplifying -3 + 4x + -15x2 = 0 Solving -3 + 4x + -15x2 = 0 Begin completing the square. Divide all terms by -15 the coefficient of the squared term: Divide each side by '-15'. 0.2 + -0.2666666667x + x2 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + -0.2666666667x + -0.2 + x2 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + -0.2666666667x + x2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.2666666667x + x2 = 0 + -0.2 -0.2666666667x + x2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 -0.2666666667x + x2 = -0.2 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 = -0.2 + 0.01777777780 Reorder the terms: 0.01777777780 + -0.2666666667x + x2 = -0.2 + 0.01777777780 Combine like terms: -0.2 + 0.01777777780 = -0.1822222222 0.01777777780 + -0.2666666667x + x2 = -0.1822222222 Factor a perfect square on the left side: (x + -0.1333333334)(x + -0.1333333334) = -0.1822222222 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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