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Simplifying 28x2 + -12x + 12 = 0 Reorder the terms: 12 + -12x + 28x2 = 0 Solving 12 + -12x + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(3 + -3x + 7x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -3x + 7x2)' equal to zero and attempt to solve: Simplifying 3 + -3x + 7x2 = 0 Solving 3 + -3x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.4285714286 + -0.4285714286x + x2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + -0.4285714286x + -0.4285714286 + x2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + -0.4285714286x + x2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + -0.4285714286x + x2 = 0 + -0.4285714286 -0.4285714286x + x2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 -0.4285714286x + x2 = -0.4285714286 The x term is -0.4285714286x. Take half its coefficient (-0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. -0.4285714286x + 0.04591836735 + x2 = -0.4285714286 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286x + x2 = -0.4285714286 + 0.04591836735 Combine like terms: -0.4285714286 + 0.04591836735 = -0.38265306125 0.04591836735 + -0.4285714286x + x2 = -0.38265306125 Factor a perfect square on the left side: (x + -0.2142857143)(x + -0.2142857143) = -0.38265306125 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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