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Simplifying 8x + -98 = 36x2 Reorder the terms: -98 + 8x = 36x2 Solving -98 + 8x = 36x2 Solving for variable 'x'. Combine like terms: 36x2 + -36x2 = 0 -98 + 8x + -36x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-49 + 4x + -18x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-49 + 4x + -18x2)' equal to zero and attempt to solve: Simplifying -49 + 4x + -18x2 = 0 Solving -49 + 4x + -18x2 = 0 Begin completing the square. Divide all terms by -18 the coefficient of the squared term: Divide each side by '-18'. 2.722222222 + -0.2222222222x + x2 = 0 Move the constant term to the right: Add '-2.722222222' to each side of the equation. 2.722222222 + -0.2222222222x + -2.722222222 + x2 = 0 + -2.722222222 Reorder the terms: 2.722222222 + -2.722222222 + -0.2222222222x + x2 = 0 + -2.722222222 Combine like terms: 2.722222222 + -2.722222222 = 0.000000000 0.000000000 + -0.2222222222x + x2 = 0 + -2.722222222 -0.2222222222x + x2 = 0 + -2.722222222 Combine like terms: 0 + -2.722222222 = -2.722222222 -0.2222222222x + x2 = -2.722222222 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 = -2.722222222 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222x + x2 = -2.722222222 + 0.01234567901 Combine like terms: -2.722222222 + 0.01234567901 = -2.70987654299 0.01234567901 + -0.2222222222x + x2 = -2.70987654299 Factor a perfect square on the left side: (x + -0.1111111111)(x + -0.1111111111) = -2.70987654299 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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