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Simplifying 2x2 + -2x + 34 = -6x2 + -34 + 10 Reorder the terms: 34 + -2x + 2x2 = -6x2 + -34 + 10 Reorder the terms: 34 + -2x + 2x2 = -34 + 10 + -6x2 Combine like terms: -34 + 10 = -24 34 + -2x + 2x2 = -24 + -6x2 Solving 34 + -2x + 2x2 = -24 + -6x2 Solving for variable 'x'. Reorder the terms: 34 + 24 + -2x + 2x2 + 6x2 = -24 + -6x2 + 24 + 6x2 Combine like terms: 34 + 24 = 58 58 + -2x + 2x2 + 6x2 = -24 + -6x2 + 24 + 6x2 Combine like terms: 2x2 + 6x2 = 8x2 58 + -2x + 8x2 = -24 + -6x2 + 24 + 6x2 Reorder the terms: 58 + -2x + 8x2 = -24 + 24 + -6x2 + 6x2 Combine like terms: -24 + 24 = 0 58 + -2x + 8x2 = 0 + -6x2 + 6x2 58 + -2x + 8x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 58 + -2x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(29 + -1x + 4x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(29 + -1x + 4x2)' equal to zero and attempt to solve: Simplifying 29 + -1x + 4x2 = 0 Solving 29 + -1x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 7.25 + -0.25x + x2 = 0 Move the constant term to the right: Add '-7.25' to each side of the equation. 7.25 + -0.25x + -7.25 + x2 = 0 + -7.25 Reorder the terms: 7.25 + -7.25 + -0.25x + x2 = 0 + -7.25 Combine like terms: 7.25 + -7.25 = 0.00 0.00 + -0.25x + x2 = 0 + -7.25 -0.25x + x2 = 0 + -7.25 Combine like terms: 0 + -7.25 = -7.25 -0.25x + x2 = -7.25 The x term is -0.25x. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25x + 0.015625 + x2 = -7.25 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -7.25 + 0.015625 Combine like terms: -7.25 + 0.015625 = -7.234375 0.015625 + -0.25x + x2 = -7.234375 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -7.234375 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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