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Simplifying -18x2 + -4x = 81 Reorder the terms: -4x + -18x2 = 81 Solving -4x + -18x2 = 81 Solving for variable 'x'. Reorder the terms: -81 + -4x + -18x2 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + -4x + -18x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(81 + 4x + 18x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(81 + 4x + 18x2)' equal to zero and attempt to solve: Simplifying 81 + 4x + 18x2 = 0 Solving 81 + 4x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 4.5 + 0.2222222222x + x2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + 0.2222222222x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + 0.2222222222x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.2222222222x + x2 = 0 + -4.5 0.2222222222x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 0.2222222222x + x2 = -4.5 The x term is 0.2222222222x. Take half its coefficient (0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. 0.2222222222x + 0.01234567901 + x2 = -4.5 + 0.01234567901 Reorder the terms: 0.01234567901 + 0.2222222222x + x2 = -4.5 + 0.01234567901 Combine like terms: -4.5 + 0.01234567901 = -4.48765432099 0.01234567901 + 0.2222222222x + x2 = -4.48765432099 Factor a perfect square on the left side: (x + 0.1111111111)(x + 0.1111111111) = -4.48765432099 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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