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Simplifying -9 = 9x2 + 2x Reorder the terms: -9 = 2x + 9x2 Solving -9 = 2x + 9x2 Solving for variable 'x'. Reorder the terms: -9 + -2x + -9x2 = 2x + -2x + 9x2 + -9x2 Combine like terms: 2x + -2x = 0 -9 + -2x + -9x2 = 0 + 9x2 + -9x2 -9 + -2x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -9 + -2x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 2x + 9x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + 2x + 9x2)' equal to zero and attempt to solve: Simplifying 9 + 2x + 9x2 = 0 Solving 9 + 2x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1 + 0.2222222222x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.2222222222x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.2222222222x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.2222222222x + x2 = 0 + -1 0.2222222222x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.2222222222x + x2 = -1 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 = -1 + 0.01234567901 Reorder the terms: 0.01234567901 + 0.2222222222x + x2 = -1 + 0.01234567901 Combine like terms: -1 + 0.01234567901 = -0.98765432099 0.01234567901 + 0.2222222222x + x2 = -0.98765432099 Factor a perfect square on the left side: (x + 0.1111111111)(x + 0.1111111111) = -0.98765432099 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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