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Simplifying 18x2 + -4x + 15000 = 0 Reorder the terms: 15000 + -4x + 18x2 = 0 Solving 15000 + -4x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(7500 + -2x + 9x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7500 + -2x + 9x2)' equal to zero and attempt to solve: Simplifying 7500 + -2x + 9x2 = 0 Solving 7500 + -2x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 833.3333333 + -0.2222222222x + x2 = 0 Move the constant term to the right: Add '-833.3333333' to each side of the equation. 833.3333333 + -0.2222222222x + -833.3333333 + x2 = 0 + -833.3333333 Reorder the terms: 833.3333333 + -833.3333333 + -0.2222222222x + x2 = 0 + -833.3333333 Combine like terms: 833.3333333 + -833.3333333 = 0.0000000 0.0000000 + -0.2222222222x + x2 = 0 + -833.3333333 -0.2222222222x + x2 = 0 + -833.3333333 Combine like terms: 0 + -833.3333333 = -833.3333333 -0.2222222222x + x2 = -833.3333333 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 = -833.3333333 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222x + x2 = -833.3333333 + 0.01234567901 Combine like terms: -833.3333333 + 0.01234567901 = -833.32098762099 0.01234567901 + -0.2222222222x + x2 = -833.32098762099 Factor a perfect square on the left side: (x + -0.1111111111)(x + -0.1111111111) = -833.32098762099 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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