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Simplifying 12x2 + -15x + 12 = 0 Reorder the terms: 12 + -15x + 12x2 = 0 Solving 12 + -15x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(4 + -5x + 4x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + -5x + 4x2)' equal to zero and attempt to solve: Simplifying 4 + -5x + 4x2 = 0 Solving 4 + -5x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1 + -1.25x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.25x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1.25x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.25x + x2 = 0 + -1 -1.25x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.25x + x2 = -1 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = -1 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -1 + 0.390625 Combine like terms: -1 + 0.390625 = -0.609375 0.390625 + -1.25x + x2 = -0.609375 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -0.609375 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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