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Simplifying 8x2 = 2x + -10 Reorder the terms: 8x2 = -10 + 2x Solving 8x2 = -10 + 2x Solving for variable 'x'. Reorder the terms: 10 + -2x + 8x2 = -10 + 2x + 10 + -2x Reorder the terms: 10 + -2x + 8x2 = -10 + 10 + 2x + -2x Combine like terms: -10 + 10 = 0 10 + -2x + 8x2 = 0 + 2x + -2x 10 + -2x + 8x2 = 2x + -2x Combine like terms: 2x + -2x = 0 10 + -2x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -1x + 4x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -1x + 4x2)' equal to zero and attempt to solve: Simplifying 5 + -1x + 4x2 = 0 Solving 5 + -1x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + -0.25x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -0.25x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -0.25x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -0.25x + x2 = 0 + -1.25 -0.25x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -0.25x + x2 = -1.25 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 = -1.25 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -1.25 + 0.015625 Combine like terms: -1.25 + 0.015625 = -1.234375 0.015625 + -0.25x + x2 = -1.234375 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -1.234375 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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