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Simplifying 6x2 + -3x + 4 = -2 Reorder the terms: 4 + -3x + 6x2 = -2 Solving 4 + -3x + 6x2 = -2 Solving for variable 'x'. Reorder the terms: 4 + 2 + -3x + 6x2 = -2 + 2 Combine like terms: 4 + 2 = 6 6 + -3x + 6x2 = -2 + 2 Combine like terms: -2 + 2 = 0 6 + -3x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2 + -1x + 2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + -1x + 2x2)' equal to zero and attempt to solve: Simplifying 2 + -1x + 2x2 = 0 Solving 2 + -1x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1 + -0.5x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.5x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.5x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5x + x2 = 0 + -1 -0.5x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.5x + x2 = -1 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -1 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -1 + 0.0625 Combine like terms: -1 + 0.0625 = -0.9375 0.0625 + -0.5x + x2 = -0.9375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.9375 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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