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Simplifying 9x2 + -3x2 + -3x = -36 + -6 Reorder the terms: -3x + 9x2 + -3x2 = -36 + -6 Combine like terms: 9x2 + -3x2 = 6x2 -3x + 6x2 = -36 + -6 Combine like terms: -36 + -6 = -42 -3x + 6x2 = -42 Solving -3x + 6x2 = -42 Solving for variable 'x'. Reorder the terms: 42 + -3x + 6x2 = -42 + 42 Combine like terms: -42 + 42 = 0 42 + -3x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(14 + -1x + 2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(14 + -1x + 2x2)' equal to zero and attempt to solve: Simplifying 14 + -1x + 2x2 = 0 Solving 14 + -1x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7 + -0.5x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -0.5x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -0.5x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -0.5x + x2 = 0 + -7 -0.5x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -0.5x + x2 = -7 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 = -7 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -7 + 0.0625 Combine like terms: -7 + 0.0625 = -6.9375 0.0625 + -0.5x + x2 = -6.9375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -6.9375 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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